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Finding the Fourth Proportional to 509,965,985.40, 764,948,978.10 and 165,167,064.60

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Solution

The fourth proportional to 509,965,985.40, 764,948,978.10 and 165,167,064.60 is: 247,750,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,965,985.40 : 764,948,978.10 = 165,167,064.60 : x
  2. Step 2: Convert to fraction form
    509,965,985.40/764,948,978.10 = 165,167,064.60/x
  3. Step 3: Cross multiply
    509,965,985.40x = 764,948,978.10 × 165,167,064.60
  4. Step 4: Simplify right side
    509,965,985.40x = 126,344,377,281,546,688
  5. Step 5: Solve for x
    x = 126,344,377,281,546,688/509,965,985.40
  6. Step 6: Final answer
    x = 247,750,596.90

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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.