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Finding the Fourth Proportional to 657,102.40, 985,423.20 and 341,454.40

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Solution

The fourth proportional to 657,102.40, 985,423.20 and 341,454.40 is: 512,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,102.40 : 985,423.20 = 341,454.40 : x
  2. Step 2: Convert to fraction form
    657,102.40/985,423.20 = 341,454.40/x
  3. Step 3: Cross multiply
    657,102.40x = 985,423.20 × 341,454.40
  4. Step 4: Simplify right side
    657,102.40x = 336,477,087,502.08
  5. Step 5: Solve for x
    x = 336,477,087,502.08/657,102.40
  6. Step 6: Final answer
    x = 512,061.88

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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.