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Finding the Fourth Proportional to 314,155.50, 433,539 and 170,915.46

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Solution

The fourth proportional to 314,155.50, 433,539 and 170,915.46 is: 235,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,155.50 : 433,539 = 170,915.46 : x
  2. Step 2: Convert to fraction form
    314,155.50/433,539 = 170,915.46/x
  3. Step 3: Cross multiply
    314,155.50x = 433,539 × 170,915.46
  4. Step 4: Simplify right side
    314,155.50x = 74,098,517,612.94
  5. Step 5: Solve for x
    x = 74,098,517,612.94/314,155.50
  6. Step 6: Final answer
    x = 235,865.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.