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Finding the Fourth Proportional to 382,483.80, 527,827.68 and 210,404.16

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Solution

The fourth proportional to 382,483.80, 527,827.68 and 210,404.16 is: 290,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,483.80 : 527,827.68 = 210,404.16 : x
  2. Step 2: Convert to fraction form
    382,483.80/527,827.68 = 210,404.16/x
  3. Step 3: Cross multiply
    382,483.80x = 527,827.68 × 210,404.16
  4. Step 4: Simplify right side
    382,483.80x = 111,057,139,635.15
  5. Step 5: Solve for x
    x = 111,057,139,635.15/382,483.80
  6. Step 6: Final answer
    x = 290,357.76

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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.