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Finding the Fourth Proportional to 284,237.46, 392,245.28 and 156,910.32

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Solution

The fourth proportional to 284,237.46, 392,245.28 and 156,910.32 is: 216,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,237.46 : 392,245.28 = 156,910.32 : x
  2. Step 2: Convert to fraction form
    284,237.46/392,245.28 = 156,910.32/x
  3. Step 3: Cross multiply
    284,237.46x = 392,245.28 × 156,910.32
  4. Step 4: Simplify right side
    284,237.46x = 61,547,332,403.29
  5. Step 5: Solve for x
    x = 61,547,332,403.29/284,237.46
  6. Step 6: Final answer
    x = 216,534.91

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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.