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Finding the Fourth Proportional to 284,617.84, 392,797.50 and 157,318.24

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Solution

The fourth proportional to 284,617.84, 392,797.50 and 157,318.24 is: 217,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,617.84 : 392,797.50 = 157,318.24 : x
  2. Step 2: Convert to fraction form
    284,617.84/392,797.50 = 157,318.24/x
  3. Step 3: Cross multiply
    284,617.84x = 392,797.50 × 157,318.24
  4. Step 4: Simplify right side
    284,617.84x = 61,794,211,376.40
  5. Step 5: Solve for x
    x = 61,794,211,376.40/284,617.84
  6. Step 6: Final answer
    x = 217,112.92

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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.