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Finding the Fourth Proportional to 384,005.40, 576,008.10 and 346,680.60

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Solution

The fourth proportional to 384,005.40, 576,008.10 and 346,680.60 is: 520,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,005.40 : 576,008.10 = 346,680.60 : x
  2. Step 2: Convert to fraction form
    384,005.40/576,008.10 = 346,680.60/x
  3. Step 3: Cross multiply
    384,005.40x = 576,008.10 × 346,680.60
  4. Step 4: Simplify right side
    384,005.40x = 199,690,833,712.86
  5. Step 5: Solve for x
    x = 199,690,833,712.86/384,005.40
  6. Step 6: Final answer
    x = 520,020.90

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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.