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Finding the Fourth Proportional to 272,045.90, 408,068.85 and 172,318.70

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Solution

The fourth proportional to 272,045.90, 408,068.85 and 172,318.70 is: 258,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,045.90 : 408,068.85 = 172,318.70 : x
  2. Step 2: Convert to fraction form
    272,045.90/408,068.85 = 172,318.70/x
  3. Step 3: Cross multiply
    272,045.90x = 408,068.85 × 172,318.70
  4. Step 4: Simplify right side
    272,045.90x = 70,317,893,742.50
  5. Step 5: Solve for x
    x = 70,317,893,742.50/272,045.90
  6. Step 6: Final answer
    x = 258,478.05

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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.