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Finding the Fourth Proportional to 653,705.60, 980,614.92 and 180,390.98

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Solution

The fourth proportional to 653,705.60, 980,614.92 and 180,390.98 is: 270,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,705.60 : 980,614.92 = 180,390.98 : x
  2. Step 2: Convert to fraction form
    653,705.60/980,614.92 = 180,390.98/x
  3. Step 3: Cross multiply
    653,705.60x = 980,614.92 × 180,390.98
  4. Step 4: Simplify right side
    653,705.60x = 176,894,086,421.42
  5. Step 5: Solve for x
    x = 176,894,086,421.42/653,705.60
  6. Step 6: Final answer
    x = 270,602.07

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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.