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Finding the Fourth Proportional to 742,402.90, 1,024,516 and 402,871.15

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Solution

The fourth proportional to 742,402.90, 1,024,516 and 402,871.15 is: 555,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,402.90 : 1,024,516 = 402,871.15 : x
  2. Step 2: Convert to fraction form
    742,402.90/1,024,516 = 402,871.15/x
  3. Step 3: Cross multiply
    742,402.90x = 1,024,516 × 402,871.15
  4. Step 4: Simplify right side
    742,402.90x = 412,747,939,113.40
  5. Step 5: Solve for x
    x = 412,747,939,113.40/742,402.90
  6. Step 6: Final answer
    x = 555,962.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.