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Finding the Fourth Proportional to 781,641.83, 1,171,649.84 and 302,198.91

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Solution

The fourth proportional to 781,641.83, 1,171,649.84 and 302,198.91 is: 452,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,641.83 : 1,171,649.84 = 302,198.91 : x
  2. Step 2: Convert to fraction form
    781,641.83/1,171,649.84 = 302,198.91/x
  3. Step 3: Cross multiply
    781,641.83x = 1,171,649.84 × 302,198.91
  4. Step 4: Simplify right side
    781,641.83x = 354,071,303,038.68
  5. Step 5: Solve for x
    x = 354,071,303,038.68/781,641.83
  6. Step 6: Final answer
    x = 452,984.08

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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.