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Finding the Fourth Proportional to 286,308.90, 429,511.95 and 86,627.70

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Solution

The fourth proportional to 286,308.90, 429,511.95 and 86,627.70 is: 129,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,308.90 : 429,511.95 = 86,627.70 : x
  2. Step 2: Convert to fraction form
    286,308.90/429,511.95 = 86,627.70/x
  3. Step 3: Cross multiply
    286,308.90x = 429,511.95 × 86,627.70
  4. Step 4: Simplify right side
    286,308.90x = 37,207,632,351.02
  5. Step 5: Solve for x
    x = 37,207,632,351.02/286,308.90
  6. Step 6: Final answer
    x = 129,956.25

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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.