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Finding the Fourth Proportional to 605,431.40, 910,115.40 and 429,159.20

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Solution

The fourth proportional to 605,431.40, 910,115.40 and 429,159.20 is: 645,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,431.40 : 910,115.40 = 429,159.20 : x
  2. Step 2: Convert to fraction form
    605,431.40/910,115.40 = 429,159.20/x
  3. Step 3: Cross multiply
    605,431.40x = 910,115.40 × 429,159.20
  4. Step 4: Simplify right side
    605,431.40x = 390,584,396,971.68
  5. Step 5: Solve for x
    x = 390,584,396,971.68/605,431.40
  6. Step 6: Final answer
    x = 645,134.03

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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.