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Finding the Fourth Proportional to 427,876.08, 642,444.92 and 238,706

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Solution

The fourth proportional to 427,876.08, 642,444.92 and 238,706 is: 358,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,876.08 : 642,444.92 = 238,706 : x
  2. Step 2: Convert to fraction form
    427,876.08/642,444.92 = 238,706/x
  3. Step 3: Cross multiply
    427,876.08x = 642,444.92 × 238,706
  4. Step 4: Simplify right side
    427,876.08x = 153,355,457,073.52
  5. Step 5: Solve for x
    x = 153,355,457,073.52/427,876.08
  6. Step 6: Final answer
    x = 358,410.91

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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.