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Finding the Fourth Proportional to 284,521.32, 392,643.54 and 157,199.85

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Solution

The fourth proportional to 284,521.32, 392,643.54 and 157,199.85 is: 216,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,521.32 : 392,643.54 = 157,199.85 : x
  2. Step 2: Convert to fraction form
    284,521.32/392,643.54 = 157,199.85/x
  3. Step 3: Cross multiply
    284,521.32x = 392,643.54 × 157,199.85
  4. Step 4: Simplify right side
    284,521.32x = 61,723,505,591.47
  5. Step 5: Solve for x
    x = 61,723,505,591.47/284,521.32
  6. Step 6: Final answer
    x = 216,938.07

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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.