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Finding the Fourth Proportional to 386,915.67, 580,693.32 and 197,515.98

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Solution

The fourth proportional to 386,915.67, 580,693.32 and 197,515.98 is: 296,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,915.67 : 580,693.32 = 197,515.98 : x
  2. Step 2: Convert to fraction form
    386,915.67/580,693.32 = 197,515.98/x
  3. Step 3: Cross multiply
    386,915.67x = 580,693.32 × 197,515.98
  4. Step 4: Simplify right side
    386,915.67x = 114,696,210,179.25
  5. Step 5: Solve for x
    x = 114,696,210,179.25/386,915.67
  6. Step 6: Final answer
    x = 296,437.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.