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Finding the Fourth Proportional to 228,493.17, 342,809.82 and 102,239.69

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Solution

The fourth proportional to 228,493.17, 342,809.82 and 102,239.69 is: 153,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,493.17 : 342,809.82 = 102,239.69 : x
  2. Step 2: Convert to fraction form
    228,493.17/342,809.82 = 102,239.69/x
  3. Step 3: Cross multiply
    228,493.17x = 342,809.82 × 102,239.69
  4. Step 4: Simplify right side
    228,493.17x = 35,048,768,011.71
  5. Step 5: Solve for x
    x = 35,048,768,011.71/228,493.17
  6. Step 6: Final answer
    x = 153,390.88

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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.