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Finding the Fourth Proportional to 206,878.10, 310,317.15 and 146,516.90

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Solution

The fourth proportional to 206,878.10, 310,317.15 and 146,516.90 is: 219,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878.10 : 310,317.15 = 146,516.90 : x
  2. Step 2: Convert to fraction form
    206,878.10/310,317.15 = 146,516.90/x
  3. Step 3: Cross multiply
    206,878.10x = 310,317.15 × 146,516.90
  4. Step 4: Simplify right side
    206,878.10x = 45,466,706,834.84
  5. Step 5: Solve for x
    x = 45,466,706,834.84/206,878.10
  6. Step 6: Final answer
    x = 219,775.35

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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.