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Finding the Fourth Proportional to 406,037.61, 608,654.66 and 192,430.08

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Solution

The fourth proportional to 406,037.61, 608,654.66 and 192,430.08 is: 288,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,037.61 : 608,654.66 = 192,430.08 : x
  2. Step 2: Convert to fraction form
    406,037.61/608,654.66 = 192,430.08/x
  3. Step 3: Cross multiply
    406,037.61x = 608,654.66 × 192,430.08
  4. Step 4: Simplify right side
    406,037.61x = 117,123,463,954.02
  5. Step 5: Solve for x
    x = 117,123,463,954.02/406,037.61
  6. Step 6: Final answer
    x = 288,454.72

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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.