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Finding the Fourth Proportional to 340,511.10, 510,766.65 and 270,008.70

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Solution

The fourth proportional to 340,511.10, 510,766.65 and 270,008.70 is: 405,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,511.10 : 510,766.65 = 270,008.70 : x
  2. Step 2: Convert to fraction form
    340,511.10/510,766.65 = 270,008.70/x
  3. Step 3: Cross multiply
    340,511.10x = 510,766.65 × 270,008.70
  4. Step 4: Simplify right side
    340,511.10x = 137,911,439,169.86
  5. Step 5: Solve for x
    x = 137,911,439,169.86/340,511.10
  6. Step 6: Final answer
    x = 405,013.05

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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.