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Finding the Fourth Proportional to 315,920.78, 473,905.65 and 105,559.46

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Solution

The fourth proportional to 315,920.78, 473,905.65 and 105,559.46 is: 158,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,920.78 : 473,905.65 = 105,559.46 : x
  2. Step 2: Convert to fraction form
    315,920.78/473,905.65 = 105,559.46/x
  3. Step 3: Cross multiply
    315,920.78x = 473,905.65 × 105,559.46
  4. Step 4: Simplify right side
    315,920.78x = 50,025,224,504.95
  5. Step 5: Solve for x
    x = 50,025,224,504.95/315,920.78
  6. Step 6: Final answer
    x = 158,347.37

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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.