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Finding the Fourth Proportional to 284,120.52, 392,085.52 and 156,795.20

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Solution

The fourth proportional to 284,120.52, 392,085.52 and 156,795.20 is: 216,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,120.52 : 392,085.52 = 156,795.20 : x
  2. Step 2: Convert to fraction form
    284,120.52/392,085.52 = 156,795.20/x
  3. Step 3: Cross multiply
    284,120.52x = 392,085.52 × 156,795.20
  4. Step 4: Simplify right side
    284,120.52x = 61,477,127,525.50
  5. Step 5: Solve for x
    x = 61,477,127,525.50/284,120.52
  6. Step 6: Final answer
    x = 216,376.94

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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.