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Finding the Fourth Proportional to 499,054.95, 688,695.08 and 284,195.12

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Solution

The fourth proportional to 499,054.95, 688,695.08 and 284,195.12 is: 392,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,054.95 : 688,695.08 = 284,195.12 : x
  2. Step 2: Convert to fraction form
    499,054.95/688,695.08 = 284,195.12/x
  3. Step 3: Cross multiply
    499,054.95x = 688,695.08 × 284,195.12
  4. Step 4: Simplify right side
    499,054.95x = 195,723,776,039.56
  5. Step 5: Solve for x
    x = 195,723,776,039.56/499,054.95
  6. Step 6: Final answer
    x = 392,188.83

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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.