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Finding the Fourth Proportional to 284,685.83, 392,863.12 and 157,358.69

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Solution

The fourth proportional to 284,685.83, 392,863.12 and 157,358.69 is: 217,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,685.83 : 392,863.12 = 157,358.69 : x
  2. Step 2: Convert to fraction form
    284,685.83/392,863.12 = 157,358.69/x
  3. Step 3: Cross multiply
    284,685.83x = 392,863.12 × 157,358.69
  4. Step 4: Simplify right side
    284,685.83x = 61,820,425,912.51
  5. Step 5: Solve for x
    x = 61,820,425,912.51/284,685.83
  6. Step 6: Final answer
    x = 217,153.15

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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.