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Finding the Fourth Proportional to 828,363.92, 1,240,922 and 429,266.48

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Solution

The fourth proportional to 828,363.92, 1,240,922 and 429,266.48 is: 643,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,363.92 : 1,240,922 = 429,266.48 : x
  2. Step 2: Convert to fraction form
    828,363.92/1,240,922 = 429,266.48/x
  3. Step 3: Cross multiply
    828,363.92x = 1,240,922 × 429,266.48
  4. Step 4: Simplify right side
    828,363.92x = 532,686,218,894.56
  5. Step 5: Solve for x
    x = 532,686,218,894.56/828,363.92
  6. Step 6: Final answer
    x = 643,058.21

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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.