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Finding the Fourth Proportional to 398,935.84, 598,402.12 and 162,276.52

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Solution

The fourth proportional to 398,935.84, 598,402.12 and 162,276.52 is: 243,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,935.84 : 598,402.12 = 162,276.52 : x
  2. Step 2: Convert to fraction form
    398,935.84/598,402.12 = 162,276.52/x
  3. Step 3: Cross multiply
    398,935.84x = 598,402.12 × 162,276.52
  4. Step 4: Simplify right side
    398,935.84x = 97,106,613,594.22
  5. Step 5: Solve for x
    x = 97,106,613,594.22/398,935.84
  6. Step 6: Final answer
    x = 243,414.11

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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.