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Finding the Fourth Proportional to 435,471.40, 653,207.14 and 135,977.64

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Solution

The fourth proportional to 435,471.40, 653,207.14 and 135,977.64 is: 203,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,471.40 : 653,207.14 = 135,977.64 : x
  2. Step 2: Convert to fraction form
    435,471.40/653,207.14 = 135,977.64/x
  3. Step 3: Cross multiply
    435,471.40x = 653,207.14 × 135,977.64
  4. Step 4: Simplify right side
    435,471.40x = 88,821,565,328.35
  5. Step 5: Solve for x
    x = 88,821,565,328.35/435,471.40
  6. Step 6: Final answer
    x = 203,966.47

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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.