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Finding the Fourth Proportional to 406,055.52, 609,123.84 and 139,780.80

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Solution

The fourth proportional to 406,055.52, 609,123.84 and 139,780.80 is: 209,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,055.52 : 609,123.84 = 139,780.80 : x
  2. Step 2: Convert to fraction form
    406,055.52/609,123.84 = 139,780.80/x
  3. Step 3: Cross multiply
    406,055.52x = 609,123.84 × 139,780.80
  4. Step 4: Simplify right side
    406,055.52x = 85,143,817,654.27
  5. Step 5: Solve for x
    x = 85,143,817,654.27/406,055.52
  6. Step 6: Final answer
    x = 209,685.16

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1.5x scale

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.