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Finding the Fourth Proportional to 406,097.37, 608,480.24 and 287,555.90

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Solution

The fourth proportional to 406,097.37, 608,480.24 and 287,555.90 is: 430,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,097.37 : 608,480.24 = 287,555.90 : x
  2. Step 2: Convert to fraction form
    406,097.37/608,480.24 = 287,555.90/x
  3. Step 3: Cross multiply
    406,097.37x = 608,480.24 × 287,555.90
  4. Step 4: Simplify right side
    406,097.37x = 174,972,078,565.24
  5. Step 5: Solve for x
    x = 174,972,078,565.24/406,097.37
  6. Step 6: Final answer
    x = 430,862.38

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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.