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Finding the Fourth Proportional to 284,182.22, 392,143.50 and 156,849.56

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Solution

The fourth proportional to 284,182.22, 392,143.50 and 156,849.56 is: 216,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,182.22 : 392,143.50 = 156,849.56 : x
  2. Step 2: Convert to fraction form
    284,182.22/392,143.50 = 156,849.56/x
  3. Step 3: Cross multiply
    284,182.22x = 392,143.50 × 156,849.56
  4. Step 4: Simplify right side
    284,182.22x = 61,507,535,431.86
  5. Step 5: Solve for x
    x = 61,507,535,431.86/284,182.22
  6. Step 6: Final answer
    x = 216,436.96

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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.