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Finding the Fourth Proportional to 285,073.76, 427,484.27 and 151,929.20

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Solution

The fourth proportional to 285,073.76, 427,484.27 and 151,929.20 is: 227,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,073.76 : 427,484.27 = 151,929.20 : x
  2. Step 2: Convert to fraction form
    285,073.76/427,484.27 = 151,929.20/x
  3. Step 3: Cross multiply
    285,073.76x = 427,484.27 × 151,929.20
  4. Step 4: Simplify right side
    285,073.76x = 64,947,340,256.62
  5. Step 5: Solve for x
    x = 64,947,340,256.62/285,073.76
  6. Step 6: Final answer
    x = 227,826.45

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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.