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Finding the Fourth Proportional to 520,856.56, 781,071 and 165,775.24

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Solution

The fourth proportional to 520,856.56, 781,071 and 165,775.24 is: 248,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,856.56 : 781,071 = 165,775.24 : x
  2. Step 2: Convert to fraction form
    520,856.56/781,071 = 165,775.24/x
  3. Step 3: Cross multiply
    520,856.56x = 781,071 × 165,775.24
  4. Step 4: Simplify right side
    520,856.56x = 129,482,232,482.04
  5. Step 5: Solve for x
    x = 129,482,232,482.04/520,856.56
  6. Step 6: Final answer
    x = 248,594.80

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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.