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Finding the Fourth Proportional to 261,614.10, 392,421.15 and 258,114.90

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Solution

The fourth proportional to 261,614.10, 392,421.15 and 258,114.90 is: 387,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,614.10 : 392,421.15 = 258,114.90 : x
  2. Step 2: Convert to fraction form
    261,614.10/392,421.15 = 258,114.90/x
  3. Step 3: Cross multiply
    261,614.10x = 392,421.15 × 258,114.90
  4. Step 4: Simplify right side
    261,614.10x = 101,289,745,890.14
  5. Step 5: Solve for x
    x = 101,289,745,890.14/261,614.10
  6. Step 6: Final answer
    x = 387,172.35

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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.