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Finding the Fourth Proportional to 435,565, 653,372.10 and 155,082.25

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Solution

The fourth proportional to 435,565, 653,372.10 and 155,082.25 is: 232,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,565 : 653,372.10 = 155,082.25 : x
  2. Step 2: Convert to fraction form
    435,565/653,372.10 = 155,082.25/x
  3. Step 3: Cross multiply
    435,565x = 653,372.10 × 155,082.25
  4. Step 4: Simplify right side
    435,565x = 101,326,415,355.23
  5. Step 5: Solve for x
    x = 101,326,415,355.23/435,565
  6. Step 6: Final answer
    x = 232,632.13

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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.