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Finding the Fourth Proportional to 228,814.47, 315,748.94 and 128,193.03

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Solution

The fourth proportional to 228,814.47, 315,748.94 and 128,193.03 is: 176,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,814.47 : 315,748.94 = 128,193.03 : x
  2. Step 2: Convert to fraction form
    228,814.47/315,748.94 = 128,193.03/x
  3. Step 3: Cross multiply
    228,814.47x = 315,748.94 × 128,193.03
  4. Step 4: Simplify right side
    228,814.47x = 40,476,812,696.92
  5. Step 5: Solve for x
    x = 40,476,812,696.92/228,814.47
  6. Step 6: Final answer
    x = 176,897.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.