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Finding the Fourth Proportional to 286,453.86, 429,702.65 and 86,790.78

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Solution

The fourth proportional to 286,453.86, 429,702.65 and 86,790.78 is: 130,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,453.86 : 429,702.65 = 86,790.78 : x
  2. Step 2: Convert to fraction form
    286,453.86/429,702.65 = 86,790.78/x
  3. Step 3: Cross multiply
    286,453.86x = 429,702.65 × 86,790.78
  4. Step 4: Simplify right side
    286,453.86x = 37,294,228,161.57
  5. Step 5: Solve for x
    x = 37,294,228,161.57/286,453.86
  6. Step 6: Final answer
    x = 130,192.79

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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.