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Finding the Fourth Proportional to 302,532, 454,005.36 and 105,540

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Solution

The fourth proportional to 302,532, 454,005.36 and 105,540 is: 158,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,532 : 454,005.36 = 105,540 : x
  2. Step 2: Convert to fraction form
    302,532/454,005.36 = 105,540/x
  3. Step 3: Cross multiply
    302,532x = 454,005.36 × 105,540
  4. Step 4: Simplify right side
    302,532x = 47,915,725,694.40
  5. Step 5: Solve for x
    x = 47,915,725,694.40/302,532
  6. Step 6: Final answer
    x = 158,382.34

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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.