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Finding the Fourth Proportional to 564,129.86, 846,319.37 and 209,143.89

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Solution

The fourth proportional to 564,129.86, 846,319.37 and 209,143.89 is: 313,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,129.86 : 846,319.37 = 209,143.89 : x
  2. Step 2: Convert to fraction form
    564,129.86/846,319.37 = 209,143.89/x
  3. Step 3: Cross multiply
    564,129.86x = 846,319.37 × 209,143.89
  4. Step 4: Simplify right side
    564,129.86x = 177,002,524,178.43
  5. Step 5: Solve for x
    x = 177,002,524,178.43/564,129.86
  6. Step 6: Final answer
    x = 313,762.02

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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.