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Finding the Fourth Proportional to 284,143.14, 392,168.30 and 169,429.14

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Solution

The fourth proportional to 284,143.14, 392,168.30 and 169,429.14 is: 233,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,143.14 : 392,168.30 = 169,429.14 : x
  2. Step 2: Convert to fraction form
    284,143.14/392,168.30 = 169,429.14/x
  3. Step 3: Cross multiply
    284,143.14x = 392,168.30 × 169,429.14
  4. Step 4: Simplify right side
    284,143.14x = 66,444,736,957.12
  5. Step 5: Solve for x
    x = 66,444,736,957.12/284,143.14
  6. Step 6: Final answer
    x = 233,842.48

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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.