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Finding the Fourth Proportional to 539,456,891.60, 809,185,337.40 and 293,718,573.20

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Solution

The fourth proportional to 539,456,891.60, 809,185,337.40 and 293,718,573.20 is: 440,577,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,456,891.60 : 809,185,337.40 = 293,718,573.20 : x
  2. Step 2: Convert to fraction form
    539,456,891.60/809,185,337.40 = 293,718,573.20/x
  3. Step 3: Cross multiply
    539,456,891.60x = 809,185,337.40 × 293,718,573.20
  4. Step 4: Simplify right side
    539,456,891.60x = 237,672,762,755,488,576
  5. Step 5: Solve for x
    x = 237,672,762,755,488,576/539,456,891.60
  6. Step 6: Final answer
    x = 440,577,859.80

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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.