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Finding the Fourth Proportional to 406,979.10, 610,468.65 and 389,701.80

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Solution

The fourth proportional to 406,979.10, 610,468.65 and 389,701.80 is: 584,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,979.10 : 610,468.65 = 389,701.80 : x
  2. Step 2: Convert to fraction form
    406,979.10/610,468.65 = 389,701.80/x
  3. Step 3: Cross multiply
    406,979.10x = 610,468.65 × 389,701.80
  4. Step 4: Simplify right side
    406,979.10x = 237,900,731,748.57
  5. Step 5: Solve for x
    x = 237,900,731,748.57/406,979.10
  6. Step 6: Final answer
    x = 584,552.70

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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.