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Finding the Fourth Proportional to 315,918.78, 473,902.65 and 105,557.46

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Solution

The fourth proportional to 315,918.78, 473,902.65 and 105,557.46 is: 158,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,918.78 : 473,902.65 = 105,557.46 : x
  2. Step 2: Convert to fraction form
    315,918.78/473,902.65 = 105,557.46/x
  3. Step 3: Cross multiply
    315,918.78x = 473,902.65 × 105,557.46
  4. Step 4: Simplify right side
    315,918.78x = 50,023,960,021.27
  5. Step 5: Solve for x
    x = 50,023,960,021.27/315,918.78
  6. Step 6: Final answer
    x = 158,344.37

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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.