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Finding the Fourth Proportional to 256,862.79, 385,185.78 and 76,973.76

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Solution

The fourth proportional to 256,862.79, 385,185.78 and 76,973.76 is: 115,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,862.79 : 385,185.78 = 76,973.76 : x
  2. Step 2: Convert to fraction form
    256,862.79/385,185.78 = 76,973.76/x
  3. Step 3: Cross multiply
    256,862.79x = 385,185.78 × 76,973.76
  4. Step 4: Simplify right side
    256,862.79x = 29,649,197,785.13
  5. Step 5: Solve for x
    x = 29,649,197,785.13/256,862.79
  6. Step 6: Final answer
    x = 115,428.15

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1.5x scale

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.