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Finding the Fourth Proportional to 306,915.88, 423,565.20 and 186,062.28

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Solution

The fourth proportional to 306,915.88, 423,565.20 and 186,062.28 is: 256,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,915.88 : 423,565.20 = 186,062.28 : x
  2. Step 2: Convert to fraction form
    306,915.88/423,565.20 = 186,062.28/x
  3. Step 3: Cross multiply
    306,915.88x = 423,565.20 × 186,062.28
  4. Step 4: Simplify right side
    306,915.88x = 78,809,506,840.66
  5. Step 5: Solve for x
    x = 78,809,506,840.66/306,915.88
  6. Step 6: Final answer
    x = 256,778.85

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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.