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Finding the Fourth Proportional to 520,856.24, 781,314.87 and 201,009.78

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Solution

The fourth proportional to 520,856.24, 781,314.87 and 201,009.78 is: 301,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,856.24 : 781,314.87 = 201,009.78 : x
  2. Step 2: Convert to fraction form
    520,856.24/781,314.87 = 201,009.78/x
  3. Step 3: Cross multiply
    520,856.24x = 781,314.87 × 201,009.78
  4. Step 4: Simplify right side
    520,856.24x = 157,051,930,129.43
  5. Step 5: Solve for x
    x = 157,051,930,129.43/520,856.24
  6. Step 6: Final answer
    x = 301,526.45

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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.