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Finding the Fourth Proportional to 286,220, 429,330 and 89,228

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Solution

The fourth proportional to 286,220, 429,330 and 89,228 is: 133,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,220 : 429,330 = 89,228 : x
  2. Step 2: Convert to fraction form
    286,220/429,330 = 89,228/x
  3. Step 3: Cross multiply
    286,220x = 429,330 × 89,228
  4. Step 4: Simplify right side
    286,220x = 38,308,257,240
  5. Step 5: Solve for x
    x = 38,308,257,240/286,220
  6. Step 6: Final answer
    x = 133,842

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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.