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Finding the Fourth Proportional to 382,031.01, 527,200.83 and 209,959.65

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Solution

The fourth proportional to 382,031.01, 527,200.83 and 209,959.65 is: 289,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,031.01 : 527,200.83 = 209,959.65 : x
  2. Step 2: Convert to fraction form
    382,031.01/527,200.83 = 209,959.65/x
  3. Step 3: Cross multiply
    382,031.01x = 527,200.83 × 209,959.65
  4. Step 4: Simplify right side
    382,031.01x = 110,690,901,746.51
  5. Step 5: Solve for x
    x = 110,690,901,746.51/382,031.01
  6. Step 6: Final answer
    x = 289,743.24

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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.