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Finding the Fourth Proportional to 317,709.82, 438,439.54 and 174,472.26

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Solution

The fourth proportional to 317,709.82, 438,439.54 and 174,472.26 is: 240,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,709.82 : 438,439.54 = 174,472.26 : x
  2. Step 2: Convert to fraction form
    317,709.82/438,439.54 = 174,472.26/x
  3. Step 3: Cross multiply
    317,709.82x = 438,439.54 × 174,472.26
  4. Step 4: Simplify right side
    317,709.82x = 76,495,537,417.16
  5. Step 5: Solve for x
    x = 76,495,537,417.16/317,709.82
  6. Step 6: Final answer
    x = 240,771.71

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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.