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Finding the Fourth Proportional to 531,287,487.90, 733,411,862.22 and 343,207,507.63

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Solution

The fourth proportional to 531,287,487.90, 733,411,862.22 and 343,207,507.63 is: 473,778,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,287,487.90 : 733,411,862.22 = 343,207,507.63 : x
  2. Step 2: Convert to fraction form
    531,287,487.90/733,411,862.22 = 343,207,507.63/x
  3. Step 3: Cross multiply
    531,287,487.90x = 733,411,862.22 × 343,207,507.63
  4. Step 4: Simplify right side
    531,287,487.90x = 251,712,457,298,803,168
  5. Step 5: Solve for x
    x = 251,712,457,298,803,168/531,287,487.90
  6. Step 6: Final answer
    x = 473,778,251.95

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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.