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Finding the Fourth Proportional to 513,586.56, 708,770.61 and 284,140.20

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Solution

The fourth proportional to 513,586.56, 708,770.61 and 284,140.20 is: 392,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,586.56 : 708,770.61 = 284,140.20 : x
  2. Step 2: Convert to fraction form
    513,586.56/708,770.61 = 284,140.20/x
  3. Step 3: Cross multiply
    513,586.56x = 708,770.61 × 284,140.20
  4. Step 4: Simplify right side
    513,586.56x = 201,390,222,879.52
  5. Step 5: Solve for x
    x = 201,390,222,879.52/513,586.56
  6. Step 6: Final answer
    x = 392,125.18

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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.