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Finding the Fourth Proportional to 286,656.60, 429,984.90 and 268,941.90

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Solution

The fourth proportional to 286,656.60, 429,984.90 and 268,941.90 is: 403,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,656.60 : 429,984.90 = 268,941.90 : x
  2. Step 2: Convert to fraction form
    286,656.60/429,984.90 = 268,941.90/x
  3. Step 3: Cross multiply
    286,656.60x = 429,984.90 × 268,941.90
  4. Step 4: Simplify right side
    286,656.60x = 115,640,955,977.31
  5. Step 5: Solve for x
    x = 115,640,955,977.31/286,656.60
  6. Step 6: Final answer
    x = 403,412.85

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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.