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Finding the Fourth Proportional to 317,709.81, 438,447.33 and 172,521.90

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Solution

The fourth proportional to 317,709.81, 438,447.33 and 172,521.90 is: 238,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,709.81 : 438,447.33 = 172,521.90 : x
  2. Step 2: Convert to fraction form
    317,709.81/438,447.33 = 172,521.90/x
  3. Step 3: Cross multiply
    317,709.81x = 438,447.33 × 172,521.90
  4. Step 4: Simplify right side
    317,709.81x = 75,641,766,421.53
  5. Step 5: Solve for x
    x = 75,641,766,421.53/317,709.81
  6. Step 6: Final answer
    x = 238,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.