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Finding the Fourth Proportional to 228,231, 342,262.54 and 78,428.76

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Solution

The fourth proportional to 228,231, 342,262.54 and 78,428.76 is: 117,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,231 : 342,262.54 = 78,428.76 : x
  2. Step 2: Convert to fraction form
    228,231/342,262.54 = 78,428.76/x
  3. Step 3: Cross multiply
    228,231x = 342,262.54 × 78,428.76
  4. Step 4: Simplify right side
    228,231x = 26,843,226,606.65
  5. Step 5: Solve for x
    x = 26,843,226,606.65/228,231
  6. Step 6: Final answer
    x = 117,614.29

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1.5x scale

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.