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Finding the Fourth Proportional to 316,424.74, 474,377.10 and 147,861.76

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Solution

The fourth proportional to 316,424.74, 474,377.10 and 147,861.76 is: 221,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,424.74 : 474,377.10 = 147,861.76 : x
  2. Step 2: Convert to fraction form
    316,424.74/474,377.10 = 147,861.76/x
  3. Step 3: Cross multiply
    316,424.74x = 474,377.10 × 147,861.76
  4. Step 4: Simplify right side
    316,424.74x = 70,142,232,909.70
  5. Step 5: Solve for x
    x = 70,142,232,909.70/316,424.74
  6. Step 6: Final answer
    x = 221,671.14

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1.5x scale

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.