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Finding the Fourth Proportional to 545,409.62, 817,840.66 and 317,778.92

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Solution

The fourth proportional to 545,409.62, 817,840.66 and 317,778.92 is: 476,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,409.62 : 817,840.66 = 317,778.92 : x
  2. Step 2: Convert to fraction form
    545,409.62/817,840.66 = 317,778.92/x
  3. Step 3: Cross multiply
    545,409.62x = 817,840.66 × 317,778.92
  4. Step 4: Simplify right side
    545,409.62x = 259,892,521,666.89
  5. Step 5: Solve for x
    x = 259,892,521,666.89/545,409.62
  6. Step 6: Final answer
    x = 476,508.87

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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.