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Finding the Fourth Proportional to 286,543.90, 429,819.45 and 86,866.30

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Solution

The fourth proportional to 286,543.90, 429,819.45 and 86,866.30 is: 130,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,543.90 : 429,819.45 = 86,866.30 : x
  2. Step 2: Convert to fraction form
    286,543.90/429,819.45 = 86,866.30/x
  3. Step 3: Cross multiply
    286,543.90x = 429,819.45 × 86,866.30
  4. Step 4: Simplify right side
    286,543.90x = 37,336,825,289.54
  5. Step 5: Solve for x
    x = 37,336,825,289.54/286,543.90
  6. Step 6: Final answer
    x = 130,300.54

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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.