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Finding the Fourth Proportional to 284,077.64, 392,029 and 155,025.20

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Solution

The fourth proportional to 284,077.64, 392,029 and 155,025.20 is: 213,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,077.64 : 392,029 = 155,025.20 : x
  2. Step 2: Convert to fraction form
    284,077.64/392,029 = 155,025.20/x
  3. Step 3: Cross multiply
    284,077.64x = 392,029 × 155,025.20
  4. Step 4: Simplify right side
    284,077.64x = 60,774,374,130.80
  5. Step 5: Solve for x
    x = 60,774,374,130.80/284,077.64
  6. Step 6: Final answer
    x = 213,935.79

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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.