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Finding the Fourth Proportional to 429,452.48, 643,914.14 and 145,116.16

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Solution

The fourth proportional to 429,452.48, 643,914.14 and 145,116.16 is: 217,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452.48 : 643,914.14 = 145,116.16 : x
  2. Step 2: Convert to fraction form
    429,452.48/643,914.14 = 145,116.16/x
  3. Step 3: Cross multiply
    429,452.48x = 643,914.14 × 145,116.16
  4. Step 4: Simplify right side
    429,452.48x = 93,442,349,616.08
  5. Step 5: Solve for x
    x = 93,442,349,616.08/429,452.48
  6. Step 6: Final answer
    x = 217,584.84

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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.