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Finding the Fourth Proportional to 418,430.13, 627,609.57 and 165,641.88

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Solution

The fourth proportional to 418,430.13, 627,609.57 and 165,641.88 is: 248,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,430.13 : 627,609.57 = 165,641.88 : x
  2. Step 2: Convert to fraction form
    418,430.13/627,609.57 = 165,641.88/x
  3. Step 3: Cross multiply
    418,430.13x = 627,609.57 × 165,641.88
  4. Step 4: Simplify right side
    418,430.13x = 103,958,429,080.79
  5. Step 5: Solve for x
    x = 103,958,429,080.79/418,430.13
  6. Step 6: Final answer
    x = 248,448.72

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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.