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Finding the Fourth Proportional to 382,299.79, 527,587.28 and 210,230.95

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Solution

The fourth proportional to 382,299.79, 527,587.28 and 210,230.95 is: 290,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,299.79 : 527,587.28 = 210,230.95 : x
  2. Step 2: Convert to fraction form
    382,299.79/527,587.28 = 210,230.95/x
  3. Step 3: Cross multiply
    382,299.79x = 527,587.28 × 210,230.95
  4. Step 4: Simplify right side
    382,299.79x = 110,915,174,031.16
  5. Step 5: Solve for x
    x = 110,915,174,031.16/382,299.79
  6. Step 6: Final answer
    x = 290,126.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.