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Finding the Fourth Proportional to 398,937.84, 598,405.12 and 162,278.52

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Solution

The fourth proportional to 398,937.84, 598,405.12 and 162,278.52 is: 243,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,937.84 : 598,405.12 = 162,278.52 : x
  2. Step 2: Convert to fraction form
    398,937.84/598,405.12 = 162,278.52/x
  3. Step 3: Cross multiply
    398,937.84x = 598,405.12 × 162,278.52
  4. Step 4: Simplify right side
    398,937.84x = 97,108,297,234.02
  5. Step 5: Solve for x
    x = 97,108,297,234.02/398,937.84
  6. Step 6: Final answer
    x = 243,417.11

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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.