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Finding the Fourth Proportional to 427,808, 642,342.76 and 238,637.92

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Solution

The fourth proportional to 427,808, 642,342.76 and 238,637.92 is: 358,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,808 : 642,342.76 = 238,637.92 : x
  2. Step 2: Convert to fraction form
    427,808/642,342.76 = 238,637.92/x
  3. Step 3: Cross multiply
    427,808x = 642,342.76 × 238,637.92
  4. Step 4: Simplify right side
    427,808x = 153,287,340,173.46
  5. Step 5: Solve for x
    x = 153,287,340,173.46/427,808
  6. Step 6: Final answer
    x = 358,308.73

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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.