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Finding the Fourth Proportional to 302,534, 454,008.36 and 105,542

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Solution

The fourth proportional to 302,534, 454,008.36 and 105,542 is: 158,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,534 : 454,008.36 = 105,542 : x
  2. Step 2: Convert to fraction form
    302,534/454,008.36 = 105,542/x
  3. Step 3: Cross multiply
    302,534x = 454,008.36 × 105,542
  4. Step 4: Simplify right side
    302,534x = 47,916,950,331.12
  5. Step 5: Solve for x
    x = 47,916,950,331.12/302,534
  6. Step 6: Final answer
    x = 158,385.34

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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.