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Finding the Fourth Proportional to 487,271.10, 730,906.65 and 206,751.90

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Solution

The fourth proportional to 487,271.10, 730,906.65 and 206,751.90 is: 310,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,271.10 : 730,906.65 = 206,751.90 : x
  2. Step 2: Convert to fraction form
    487,271.10/730,906.65 = 206,751.90/x
  3. Step 3: Cross multiply
    487,271.10x = 730,906.65 × 206,751.90
  4. Step 4: Simplify right side
    487,271.10x = 151,116,338,610.14
  5. Step 5: Solve for x
    x = 151,116,338,610.14/487,271.10
  6. Step 6: Final answer
    x = 310,127.85

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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.