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Finding the Fourth Proportional to 406,772.76, 610,164.34 and 280,379.08

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Solution

The fourth proportional to 406,772.76, 610,164.34 and 280,379.08 is: 420,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,772.76 : 610,164.34 = 280,379.08 : x
  2. Step 2: Convert to fraction form
    406,772.76/610,164.34 = 280,379.08/x
  3. Step 3: Cross multiply
    406,772.76x = 610,164.34 × 280,379.08
  4. Step 4: Simplify right side
    406,772.76x = 171,077,316,298.01
  5. Step 5: Solve for x
    x = 171,077,316,298.01/406,772.76
  6. Step 6: Final answer
    x = 420,572.20

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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.