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Finding the Fourth Proportional to 286,310.80, 429,356.85 and 86,564.80

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Solution

The fourth proportional to 286,310.80, 429,356.85 and 86,564.80 is: 129,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,310.80 : 429,356.85 = 86,564.80 : x
  2. Step 2: Convert to fraction form
    286,310.80/429,356.85 = 86,564.80/x
  3. Step 3: Cross multiply
    286,310.80x = 429,356.85 × 86,564.80
  4. Step 4: Simplify right side
    286,310.80x = 37,167,189,848.88
  5. Step 5: Solve for x
    x = 37,167,189,848.88/286,310.80
  6. Step 6: Final answer
    x = 129,814.14

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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.