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Finding the Fourth Proportional to 407,742.66, 611,854.56 and 155,235.69

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Solution

The fourth proportional to 407,742.66, 611,854.56 and 155,235.69 is: 232,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,742.66 : 611,854.56 = 155,235.69 : x
  2. Step 2: Convert to fraction form
    407,742.66/611,854.56 = 155,235.69/x
  3. Step 3: Cross multiply
    407,742.66x = 611,854.56 × 155,235.69
  4. Step 4: Simplify right side
    407,742.66x = 94,981,664,801.25
  5. Step 5: Solve for x
    x = 94,981,664,801.25/407,742.66
  6. Step 6: Final answer
    x = 232,945.12

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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.