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Finding the Fourth Proportional to 219,115.40, 327,981.90 and 156,907.40

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Solution

The fourth proportional to 219,115.40, 327,981.90 and 156,907.40 is: 234,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,115.40 : 327,981.90 = 156,907.40 : x
  2. Step 2: Convert to fraction form
    219,115.40/327,981.90 = 156,907.40/x
  3. Step 3: Cross multiply
    219,115.40x = 327,981.90 × 156,907.40
  4. Step 4: Simplify right side
    219,115.40x = 51,462,787,176.06
  5. Step 5: Solve for x
    x = 51,462,787,176.06/219,115.40
  6. Step 6: Final answer
    x = 234,866.14

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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.