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Finding the Fourth Proportional to 261,428.16, 391,970.16 and 172,410.24

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Solution

The fourth proportional to 261,428.16, 391,970.16 and 172,410.24 is: 258,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,428.16 : 391,970.16 = 172,410.24 : x
  2. Step 2: Convert to fraction form
    261,428.16/391,970.16 = 172,410.24/x
  3. Step 3: Cross multiply
    261,428.16x = 391,970.16 × 172,410.24
  4. Step 4: Simplify right side
    261,428.16x = 67,579,669,358.44
  5. Step 5: Solve for x
    x = 67,579,669,358.44/261,428.16
  6. Step 6: Final answer
    x = 258,501.87

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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.