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Finding the Fourth Proportional to 306,456, 459,839.52 and 140,285.76

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Solution

The fourth proportional to 306,456, 459,839.52 and 140,285.76 is: 210,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,456 : 459,839.52 = 140,285.76 : x
  2. Step 2: Convert to fraction form
    306,456/459,839.52 = 140,285.76/x
  3. Step 3: Cross multiply
    306,456x = 459,839.52 × 140,285.76
  4. Step 4: Simplify right side
    306,456x = 64,508,936,541.24
  5. Step 5: Solve for x
    x = 64,508,936,541.24/306,456
  6. Step 6: Final answer
    x = 210,499.83

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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.