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Finding the Fourth Proportional to 285,155.76, 393,533.28 and 164,294.88

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Solution

The fourth proportional to 285,155.76, 393,533.28 and 164,294.88 is: 226,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,155.76 : 393,533.28 = 164,294.88 : x
  2. Step 2: Convert to fraction form
    285,155.76/393,533.28 = 164,294.88/x
  3. Step 3: Cross multiply
    285,155.76x = 393,533.28 × 164,294.88
  4. Step 4: Simplify right side
    285,155.76x = 64,655,503,013.61
  5. Step 5: Solve for x
    x = 64,655,503,013.61/285,155.76
  6. Step 6: Final answer
    x = 226,737.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.