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Finding the Fourth Proportional to 452,587, 678,967.89 and 172,082.38

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Solution

The fourth proportional to 452,587, 678,967.89 and 172,082.38 is: 258,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,587 : 678,967.89 = 172,082.38 : x
  2. Step 2: Convert to fraction form
    452,587/678,967.89 = 172,082.38/x
  3. Step 3: Cross multiply
    452,587x = 678,967.89 × 172,082.38
  4. Step 4: Simplify right side
    452,587x = 116,838,410,454.78
  5. Step 5: Solve for x
    x = 116,838,410,454.78/452,587
  6. Step 6: Final answer
    x = 258,156.80

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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.