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Finding the Fourth Proportional to 318,479.85, 477,709.65 and 78,595.11

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Solution

The fourth proportional to 318,479.85, 477,709.65 and 78,595.11 is: 117,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,479.85 : 477,709.65 = 78,595.11 : x
  2. Step 2: Convert to fraction form
    318,479.85/477,709.65 = 78,595.11/x
  3. Step 3: Cross multiply
    318,479.85x = 477,709.65 × 78,595.11
  4. Step 4: Simplify right side
    318,479.85x = 37,545,642,489.81
  5. Step 5: Solve for x
    x = 37,545,642,489.81/318,479.85
  6. Step 6: Final answer
    x = 117,890.17

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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.