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Finding the Fourth Proportional to 317,454, 438,072.73 and 174,216.43

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Solution

The fourth proportional to 317,454, 438,072.73 and 174,216.43 is: 240,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,454 : 438,072.73 = 174,216.43 : x
  2. Step 2: Convert to fraction form
    317,454/438,072.73 = 174,216.43/x
  3. Step 3: Cross multiply
    317,454x = 438,072.73 × 174,216.43
  4. Step 4: Simplify right side
    317,454x = 76,319,467,100.95
  5. Step 5: Solve for x
    x = 76,319,467,100.95/317,454
  6. Step 6: Final answer
    x = 240,411.11

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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.