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Finding the Fourth Proportional to 284,211.57, 392,212.49 and 156,887.27

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Solution

The fourth proportional to 284,211.57, 392,212.49 and 156,887.27 is: 216,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,211.57 : 392,212.49 = 156,887.27 : x
  2. Step 2: Convert to fraction form
    284,211.57/392,212.49 = 156,887.27/x
  3. Step 3: Cross multiply
    284,211.57x = 392,212.49 × 156,887.27
  4. Step 4: Simplify right side
    284,211.57x = 61,533,146,816.00
  5. Step 5: Solve for x
    x = 61,533,146,816.00/284,211.57
  6. Step 6: Final answer
    x = 216,504.72

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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.