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Finding the Fourth Proportional to 442,806.40, 664,209.60 and 406,064.80

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Solution

The fourth proportional to 442,806.40, 664,209.60 and 406,064.80 is: 609,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.40 : 664,209.60 = 406,064.80 : x
  2. Step 2: Convert to fraction form
    442,806.40/664,209.60 = 406,064.80/x
  3. Step 3: Cross multiply
    442,806.40x = 664,209.60 × 406,064.80
  4. Step 4: Simplify right side
    442,806.40x = 269,712,138,382.08
  5. Step 5: Solve for x
    x = 269,712,138,382.08/442,806.40
  6. Step 6: Final answer
    x = 609,097.20

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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.