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Finding the Fourth Proportional to 406,100.50, 608,484.92 and 287,559.02

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Solution

The fourth proportional to 406,100.50, 608,484.92 and 287,559.02 is: 430,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,100.50 : 608,484.92 = 287,559.02 : x
  2. Step 2: Convert to fraction form
    406,100.50/608,484.92 = 287,559.02/x
  3. Step 3: Cross multiply
    406,100.50x = 608,484.92 × 287,559.02
  4. Step 4: Simplify right side
    406,100.50x = 174,975,327,279.98
  5. Step 5: Solve for x
    x = 174,975,327,279.98/406,100.50
  6. Step 6: Final answer
    x = 430,867.06

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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.