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Finding the Fourth Proportional to 284,512.32, 392,631.12 and 157,190.84

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Solution

The fourth proportional to 284,512.32, 392,631.12 and 157,190.84 is: 216,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,512.32 : 392,631.12 = 157,190.84 : x
  2. Step 2: Convert to fraction form
    284,512.32/392,631.12 = 157,190.84/x
  3. Step 3: Cross multiply
    284,512.32x = 392,631.12 × 157,190.84
  4. Step 4: Simplify right side
    284,512.32x = 61,718,015,562.94
  5. Step 5: Solve for x
    x = 61,718,015,562.94/284,512.32
  6. Step 6: Final answer
    x = 216,925.63

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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.