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Finding the Fourth Proportional to 284,120.64, 392,085.70 and 156,795.32

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Solution

The fourth proportional to 284,120.64, 392,085.70 and 156,795.32 is: 216,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,120.64 : 392,085.70 = 156,795.32 : x
  2. Step 2: Convert to fraction form
    284,120.64/392,085.70 = 156,795.32/x
  3. Step 3: Cross multiply
    284,120.64x = 392,085.70 × 156,795.32
  4. Step 4: Simplify right side
    284,120.64x = 61,477,203,387.15
  5. Step 5: Solve for x
    x = 61,477,203,387.15/284,120.64
  6. Step 6: Final answer
    x = 216,377.11

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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.