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Finding the Fourth Proportional to 284,902.77, 393,139.40 and 157,575.63

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Solution

The fourth proportional to 284,902.77, 393,139.40 and 157,575.63 is: 217,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,902.77 : 393,139.40 = 157,575.63 : x
  2. Step 2: Convert to fraction form
    284,902.77/393,139.40 = 157,575.63/x
  3. Step 3: Cross multiply
    284,902.77x = 393,139.40 × 157,575.63
  4. Step 4: Simplify right side
    284,902.77x = 61,949,188,632.82
  5. Step 5: Solve for x
    x = 61,949,188,632.82/284,902.77
  6. Step 6: Final answer
    x = 217,439.76

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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.