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Finding the Fourth Proportional to 427,801.34, 642,332.84 and 238,631.31

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Solution

The fourth proportional to 427,801.34, 642,332.84 and 238,631.31 is: 358,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,801.34 : 642,332.84 = 238,631.31 : x
  2. Step 2: Convert to fraction form
    427,801.34/642,332.84 = 238,631.31/x
  3. Step 3: Cross multiply
    427,801.34x = 642,332.84 × 238,631.31
  4. Step 4: Simplify right side
    427,801.34x = 153,280,725,872.06
  5. Step 5: Solve for x
    x = 153,280,725,872.06/427,801.34
  6. Step 6: Final answer
    x = 358,298.84

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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.