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Finding the Fourth Proportional to 317,712.69, 438,430.37 and 172,512.80

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Solution

The fourth proportional to 317,712.69, 438,430.37 and 172,512.80 is: 238,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,712.69 : 438,430.37 = 172,512.80 : x
  2. Step 2: Convert to fraction form
    317,712.69/438,430.37 = 172,512.80/x
  3. Step 3: Cross multiply
    317,712.69x = 438,430.37 × 172,512.80
  4. Step 4: Simplify right side
    317,712.69x = 75,634,848,972.87
  5. Step 5: Solve for x
    x = 75,634,848,972.87/317,712.69
  6. Step 6: Final answer
    x = 238,060.52

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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.