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Finding the Fourth Proportional to 824,640, 1,138,003.20 and 467,013.12

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Solution

The fourth proportional to 824,640, 1,138,003.20 and 467,013.12 is: 644,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,640 : 1,138,003.20 = 467,013.12 : x
  2. Step 2: Convert to fraction form
    824,640/1,138,003.20 = 467,013.12/x
  3. Step 3: Cross multiply
    824,640x = 1,138,003.20 × 467,013.12
  4. Step 4: Simplify right side
    824,640x = 531,462,425,001.98
  5. Step 5: Solve for x
    x = 531,462,425,001.98/824,640
  6. Step 6: Final answer
    x = 644,478.11

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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.