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Finding the Fourth Proportional to 538,843,809.70, 808,265,714.55 and 345,133,565.20

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Solution

The fourth proportional to 538,843,809.70, 808,265,714.55 and 345,133,565.20 is: 517,700,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,843,809.70 : 808,265,714.55 = 345,133,565.20 : x
  2. Step 2: Convert to fraction form
    538,843,809.70/808,265,714.55 = 345,133,565.20/x
  3. Step 3: Cross multiply
    538,843,809.70x = 808,265,714.55 × 345,133,565.20
  4. Step 4: Simplify right side
    538,843,809.70x = 278,959,627,691,566,976
  5. Step 5: Solve for x
    x = 278,959,627,691,566,976/538,843,809.70
  6. Step 6: Final answer
    x = 517,700,347.80

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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.