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Finding the Fourth Proportional to 509,970,897.90, 764,956,346.85 and 164,959,400.70

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Solution

The fourth proportional to 509,970,897.90, 764,956,346.85 and 164,959,400.70 is: 247,439,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,970,897.90 : 764,956,346.85 = 164,959,400.70 : x
  2. Step 2: Convert to fraction form
    509,970,897.90/764,956,346.85 = 164,959,400.70/x
  3. Step 3: Cross multiply
    509,970,897.90x = 764,956,346.85 × 164,959,400.70
  4. Step 4: Simplify right side
    509,970,897.90x = 126,186,740,538,037,328
  5. Step 5: Solve for x
    x = 126,186,740,538,037,328/509,970,897.90
  6. Step 6: Final answer
    x = 247,439,101.05

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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.