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Finding the Fourth Proportional to 398,635.72, 596,732.46 and 258,114.76

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Solution

The fourth proportional to 398,635.72, 596,732.46 and 258,114.76 is: 386,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,635.72 : 596,732.46 = 258,114.76 : x
  2. Step 2: Convert to fraction form
    398,635.72/596,732.46 = 258,114.76/x
  3. Step 3: Cross multiply
    398,635.72x = 596,732.46 × 258,114.76
  4. Step 4: Simplify right side
    398,635.72x = 154,025,455,697.11
  5. Step 5: Solve for x
    x = 154,025,455,697.11/398,635.72
  6. Step 6: Final answer
    x = 386,381.47

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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.