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Finding the Fourth Proportional to 284,364.53, 392,412.76 and 157,037.39

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Solution

The fourth proportional to 284,364.53, 392,412.76 and 157,037.39 is: 216,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,364.53 : 392,412.76 = 157,037.39 : x
  2. Step 2: Convert to fraction form
    284,364.53/392,412.76 = 157,037.39/x
  3. Step 3: Cross multiply
    284,364.53x = 392,412.76 × 157,037.39
  4. Step 4: Simplify right side
    284,364.53x = 61,623,475,633.10
  5. Step 5: Solve for x
    x = 61,623,475,633.10/284,364.53
  6. Step 6: Final answer
    x = 216,705.91

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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.