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Finding the Fourth Proportional to 219,302.70, 328,954.05 and 156,317.10

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Solution

The fourth proportional to 219,302.70, 328,954.05 and 156,317.10 is: 234,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,302.70 : 328,954.05 = 156,317.10 : x
  2. Step 2: Convert to fraction form
    219,302.70/328,954.05 = 156,317.10/x
  3. Step 3: Cross multiply
    219,302.70x = 328,954.05 × 156,317.10
  4. Step 4: Simplify right side
    219,302.70x = 51,421,143,129.26
  5. Step 5: Solve for x
    x = 51,421,143,129.26/219,302.70
  6. Step 6: Final answer
    x = 234,475.65

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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.