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Finding the Fourth Proportional to 485,062.56, 727,588.72 and 189,572

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Solution

The fourth proportional to 485,062.56, 727,588.72 and 189,572 is: 284,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,062.56 : 727,588.72 = 189,572 : x
  2. Step 2: Convert to fraction form
    485,062.56/727,588.72 = 189,572/x
  3. Step 3: Cross multiply
    485,062.56x = 727,588.72 × 189,572
  4. Step 4: Simplify right side
    485,062.56x = 137,930,448,827.84
  5. Step 5: Solve for x
    x = 137,930,448,827.84/485,062.56
  6. Step 6: Final answer
    x = 284,356.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.