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Finding the Fourth Proportional to 406,657.12, 609,812.88 and 166,605.76

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Solution

The fourth proportional to 406,657.12, 609,812.88 and 166,605.76 is: 249,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,657.12 : 609,812.88 = 166,605.76 : x
  2. Step 2: Convert to fraction form
    406,657.12/609,812.88 = 166,605.76/x
  3. Step 3: Cross multiply
    406,657.12x = 609,812.88 × 166,605.76
  4. Step 4: Simplify right side
    406,657.12x = 101,598,338,330.19
  5. Step 5: Solve for x
    x = 101,598,338,330.19/406,657.12
  6. Step 6: Final answer
    x = 249,837.84

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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.