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Finding the Fourth Proportional to 286,334.30, 429,392.10 and 86,588.30

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Solution

The fourth proportional to 286,334.30, 429,392.10 and 86,588.30 is: 129,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,334.30 : 429,392.10 = 86,588.30 : x
  2. Step 2: Convert to fraction form
    286,334.30/429,392.10 = 86,588.30/x
  3. Step 3: Cross multiply
    286,334.30x = 429,392.10 × 86,588.30
  4. Step 4: Simplify right side
    286,334.30x = 37,180,331,972.43
  5. Step 5: Solve for x
    x = 37,180,331,972.43/286,334.30
  6. Step 6: Final answer
    x = 129,849.38

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1.5x scale

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.