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Finding the Fourth Proportional to 286,270.38, 429,405.59 and 89,278.38

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Solution

The fourth proportional to 286,270.38, 429,405.59 and 89,278.38 is: 133,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,270.38 : 429,405.59 = 89,278.38 : x
  2. Step 2: Convert to fraction form
    286,270.38/429,405.59 = 89,278.38/x
  3. Step 3: Cross multiply
    286,270.38x = 429,405.59 × 89,278.38
  4. Step 4: Simplify right side
    286,270.38x = 38,336,635,438.14
  5. Step 5: Solve for x
    x = 38,336,635,438.14/286,270.38
  6. Step 6: Final answer
    x = 133,917.58

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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.