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Finding the Fourth Proportional to 712,392,973.20, 1,066,321,978.20 and 508,319,629.20

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Solution

The fourth proportional to 712,392,973.20, 1,066,321,978.20 and 508,319,629.20 is: 760,861,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,392,973.20 : 1,066,321,978.20 = 508,319,629.20 : x
  2. Step 2: Convert to fraction form
    712,392,973.20/1,066,321,978.20 = 508,319,629.20/x
  3. Step 3: Cross multiply
    712,392,973.20x = 1,066,321,978.20 × 508,319,629.20
  4. Step 4: Simplify right side
    712,392,973.20x = 542,032,392,566,434,496
  5. Step 5: Solve for x
    x = 542,032,392,566,434,496/712,392,973.20
  6. Step 6: Final answer
    x = 760,861,508.97

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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.