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Finding the Fourth Proportional to 340,311.18, 510,466.94 and 140,411.86

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Solution

The fourth proportional to 340,311.18, 510,466.94 and 140,411.86 is: 210,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,311.18 : 510,466.94 = 140,411.86 : x
  2. Step 2: Convert to fraction form
    340,311.18/510,466.94 = 140,411.86/x
  3. Step 3: Cross multiply
    340,311.18x = 510,466.94 × 140,411.86
  4. Step 4: Simplify right side
    340,311.18x = 71,675,612,513.91
  5. Step 5: Solve for x
    x = 71,675,612,513.91/340,311.18
  6. Step 6: Final answer
    x = 210,617.86

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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.