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Finding the Fourth Proportional to 317,730.34, 438,475.50 and 174,493.47

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Solution

The fourth proportional to 317,730.34, 438,475.50 and 174,493.47 is: 240,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,730.34 : 438,475.50 = 174,493.47 : x
  2. Step 2: Convert to fraction form
    317,730.34/438,475.50 = 174,493.47/x
  3. Step 3: Cross multiply
    317,730.34x = 438,475.50 × 174,493.47
  4. Step 4: Simplify right side
    317,730.34x = 76,511,111,504.99
  5. Step 5: Solve for x
    x = 76,511,111,504.99/317,730.34
  6. Step 6: Final answer
    x = 240,805.18

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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.