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Finding the Fourth Proportional to 409,330.68, 564,893.78 and 228,042.51

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Solution

The fourth proportional to 409,330.68, 564,893.78 and 228,042.51 is: 314,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,330.68 : 564,893.78 = 228,042.51 : x
  2. Step 2: Convert to fraction form
    409,330.68/564,893.78 = 228,042.51/x
  3. Step 3: Cross multiply
    409,330.68x = 564,893.78 × 228,042.51
  4. Step 4: Simplify right side
    409,330.68x = 128,819,794,334.38
  5. Step 5: Solve for x
    x = 128,819,794,334.38/409,330.68
  6. Step 6: Final answer
    x = 314,708.38

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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.