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Finding the Fourth Proportional to 286,535.74, 429,806.85 and 86,854.54

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Solution

The fourth proportional to 286,535.74, 429,806.85 and 86,854.54 is: 130,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,535.74 : 429,806.85 = 86,854.54 : x
  2. Step 2: Convert to fraction form
    286,535.74/429,806.85 = 86,854.54/x
  3. Step 3: Cross multiply
    286,535.74x = 429,806.85 × 86,854.54
  4. Step 4: Simplify right side
    286,535.74x = 37,330,676,245.60
  5. Step 5: Solve for x
    x = 37,330,676,245.60/286,535.74
  6. Step 6: Final answer
    x = 130,282.79

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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.