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Finding the Fourth Proportional to 284,201.71, 392,198.39 and 156,877.32

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Solution

The fourth proportional to 284,201.71, 392,198.39 and 156,877.32 is: 216,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,201.71 : 392,198.39 = 156,877.32 : x
  2. Step 2: Convert to fraction form
    284,201.71/392,198.39 = 156,877.32/x
  3. Step 3: Cross multiply
    284,201.71x = 392,198.39 × 156,877.32
  4. Step 4: Simplify right side
    284,201.71x = 61,527,032,331.51
  5. Step 5: Solve for x
    x = 61,527,032,331.51/284,201.71
  6. Step 6: Final answer
    x = 216,490.72

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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.