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Finding the Fourth Proportional to 284,171.30, 392,155.65 and 156,846.02

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Solution

The fourth proportional to 284,171.30, 392,155.65 and 156,846.02 is: 216,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,171.30 : 392,155.65 = 156,846.02 : x
  2. Step 2: Convert to fraction form
    284,171.30/392,155.65 = 156,846.02/x
  3. Step 3: Cross multiply
    284,171.30x = 392,155.65 × 156,846.02
  4. Step 4: Simplify right side
    284,171.30x = 61,508,052,923.01
  5. Step 5: Solve for x
    x = 61,508,052,923.01/284,171.30
  6. Step 6: Final answer
    x = 216,447.10

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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.