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Finding the Fourth Proportional to 1,300,200,906.20, 1,950,301,359.30 and 835,296,319.40

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Solution

The fourth proportional to 1,300,200,906.20, 1,950,301,359.30 and 835,296,319.40 is: 1,252,944,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,200,906.20 : 1,950,301,359.30 = 835,296,319.40 : x
  2. Step 2: Convert to fraction form
    1,300,200,906.20/1,950,301,359.30 = 835,296,319.40/x
  3. Step 3: Cross multiply
    1,300,200,906.20x = 1,950,301,359.30 × 835,296,319.40
  4. Step 4: Simplify right side
    1,300,200,906.20x = 1,629,079,547,144,106,752
  5. Step 5: Solve for x
    x = 1,629,079,547,144,106,752/1,300,200,906.20
  6. Step 6: Final answer
    x = 1,252,944,479.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.