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Finding the Fourth Proportional to 406,367.80, 609,843.30 and 228,686.20

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Solution

The fourth proportional to 406,367.80, 609,843.30 and 228,686.20 is: 343,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,367.80 : 609,843.30 = 228,686.20 : x
  2. Step 2: Convert to fraction form
    406,367.80/609,843.30 = 228,686.20/x
  3. Step 3: Cross multiply
    406,367.80x = 609,843.30 × 228,686.20
  4. Step 4: Simplify right side
    406,367.80x = 139,462,746,872.46
  5. Step 5: Solve for x
    x = 139,462,746,872.46/406,367.80
  6. Step 6: Final answer
    x = 343,193.40

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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.