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Finding the Fourth Proportional to 313,671.47, 432,860.39 and 170,432.54

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Solution

The fourth proportional to 313,671.47, 432,860.39 and 170,432.54 is: 235,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,671.47 : 432,860.39 = 170,432.54 : x
  2. Step 2: Convert to fraction form
    313,671.47/432,860.39 = 170,432.54/x
  3. Step 3: Cross multiply
    313,671.47x = 432,860.39 × 170,432.54
  4. Step 4: Simplify right side
    313,671.47x = 73,773,494,978.97
  5. Step 5: Solve for x
    x = 73,773,494,978.97/313,671.47
  6. Step 6: Final answer
    x = 235,193.52

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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.