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Finding the Fourth Proportional to 317,425.32, 438,045.75 and 174,187.80

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Solution

The fourth proportional to 317,425.32, 438,045.75 and 174,187.80 is: 240,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,425.32 : 438,045.75 = 174,187.80 : x
  2. Step 2: Convert to fraction form
    317,425.32/438,045.75 = 174,187.80/x
  3. Step 3: Cross multiply
    317,425.32x = 438,045.75 × 174,187.80
  4. Step 4: Simplify right side
    317,425.32x = 76,302,225,491.85
  5. Step 5: Solve for x
    x = 76,302,225,491.85/317,425.32
  6. Step 6: Final answer
    x = 240,378.51

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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.