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Finding the Fourth Proportional to 406,665.95, 609,882.29 and 157,289.63

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Solution

The fourth proportional to 406,665.95, 609,882.29 and 157,289.63 is: 235,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,665.95 : 609,882.29 = 157,289.63 : x
  2. Step 2: Convert to fraction form
    406,665.95/609,882.29 = 157,289.63/x
  3. Step 3: Cross multiply
    406,665.95x = 609,882.29 × 157,289.63
  4. Step 4: Simplify right side
    406,665.95x = 95,928,158,951.20
  5. Step 5: Solve for x
    x = 95,928,158,951.20/406,665.95
  6. Step 6: Final answer
    x = 235,889.33

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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.