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Finding the Fourth Proportional to 288,209, 432,315.42 and 91,217

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Solution

The fourth proportional to 288,209, 432,315.42 and 91,217 is: 136,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,209 : 432,315.42 = 91,217 : x
  2. Step 2: Convert to fraction form
    288,209/432,315.42 = 91,217/x
  3. Step 3: Cross multiply
    288,209x = 432,315.42 × 91,217
  4. Step 4: Simplify right side
    288,209x = 39,434,515,666.14
  5. Step 5: Solve for x
    x = 39,434,515,666.14/288,209
  6. Step 6: Final answer
    x = 136,826.11

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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.