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Finding the Fourth Proportional to 289,721.97, 434,645.23 and 97,615.49

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Solution

The fourth proportional to 289,721.97, 434,645.23 and 97,615.49 is: 146,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,721.97 : 434,645.23 = 97,615.49 : x
  2. Step 2: Convert to fraction form
    289,721.97/434,645.23 = 97,615.49/x
  3. Step 3: Cross multiply
    289,721.97x = 434,645.23 × 97,615.49
  4. Step 4: Simplify right side
    289,721.97x = 42,428,108,404.93
  5. Step 5: Solve for x
    x = 42,428,108,404.93/289,721.97
  6. Step 6: Final answer
    x = 146,444.22

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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.