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Finding the Fourth Proportional to 284,190.32, 392,182.68 and 156,865.94

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Solution

The fourth proportional to 284,190.32, 392,182.68 and 156,865.94 is: 216,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,190.32 : 392,182.68 = 156,865.94 : x
  2. Step 2: Convert to fraction form
    284,190.32/392,182.68 = 156,865.94/x
  3. Step 3: Cross multiply
    284,190.32x = 392,182.68 × 156,865.94
  4. Step 4: Simplify right side
    284,190.32x = 61,520,104,749.92
  5. Step 5: Solve for x
    x = 61,520,104,749.92/284,190.32
  6. Step 6: Final answer
    x = 216,475.02

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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.