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Finding the Fourth Proportional to 545,406.12, 817,835.41 and 317,775.42

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Solution

The fourth proportional to 545,406.12, 817,835.41 and 317,775.42 is: 476,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,406.12 : 817,835.41 = 317,775.42 : x
  2. Step 2: Convert to fraction form
    545,406.12/817,835.41 = 317,775.42/x
  3. Step 3: Cross multiply
    545,406.12x = 817,835.41 × 317,775.42
  4. Step 4: Simplify right side
    545,406.12x = 259,887,990,903.62
  5. Step 5: Solve for x
    x = 259,887,990,903.62/545,406.12
  6. Step 6: Final answer
    x = 476,503.62

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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.