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Finding the Fourth Proportional to 419,730.80, 579,211.62 and 228,740.12

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Solution

The fourth proportional to 419,730.80, 579,211.62 and 228,740.12 is: 315,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,730.80 : 579,211.62 = 228,740.12 : x
  2. Step 2: Convert to fraction form
    419,730.80/579,211.62 = 228,740.12/x
  3. Step 3: Cross multiply
    419,730.80x = 579,211.62 × 228,740.12
  4. Step 4: Simplify right side
    419,730.80x = 132,488,935,464.19
  5. Step 5: Solve for x
    x = 132,488,935,464.19/419,730.80
  6. Step 6: Final answer
    x = 315,652.16

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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.