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Finding the Fourth Proportional to 668,590.80, 1,002,886.20 and 402,214.20

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Solution

The fourth proportional to 668,590.80, 1,002,886.20 and 402,214.20 is: 603,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,590.80 : 1,002,886.20 = 402,214.20 : x
  2. Step 2: Convert to fraction form
    668,590.80/1,002,886.20 = 402,214.20/x
  3. Step 3: Cross multiply
    668,590.80x = 1,002,886.20 × 402,214.20
  4. Step 4: Simplify right side
    668,590.80x = 403,375,070,624.04
  5. Step 5: Solve for x
    x = 403,375,070,624.04/668,590.80
  6. Step 6: Final answer
    x = 603,321.30

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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.