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Finding the Fourth Proportional to 394,547.76, 591,765.75 and 128,312.10

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Solution

The fourth proportional to 394,547.76, 591,765.75 and 128,312.10 is: 192,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,547.76 : 591,765.75 = 128,312.10 : x
  2. Step 2: Convert to fraction form
    394,547.76/591,765.75 = 128,312.10/x
  3. Step 3: Cross multiply
    394,547.76x = 591,765.75 × 128,312.10
  4. Step 4: Simplify right side
    394,547.76x = 75,930,706,090.58
  5. Step 5: Solve for x
    x = 75,930,706,090.58/394,547.76
  6. Step 6: Final answer
    x = 192,449.97

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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.