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Finding the Fourth Proportional to 286,212.87, 429,334.47 and 86,528.16

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Solution

The fourth proportional to 286,212.87, 429,334.47 and 86,528.16 is: 129,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,212.87 : 429,334.47 = 86,528.16 : x
  2. Step 2: Convert to fraction form
    286,212.87/429,334.47 = 86,528.16/x
  3. Step 3: Cross multiply
    286,212.87x = 429,334.47 × 86,528.16
  4. Step 4: Simplify right side
    286,212.87x = 37,149,521,713.68
  5. Step 5: Solve for x
    x = 37,149,521,713.68/286,212.87
  6. Step 6: Final answer
    x = 129,796.82

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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.