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Finding the Fourth Proportional to 315,390, 435,255.96 and 181,262.64

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Solution

The fourth proportional to 315,390, 435,255.96 and 181,262.64 is: 250,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,390 : 435,255.96 = 181,262.64 : x
  2. Step 2: Convert to fraction form
    315,390/435,255.96 = 181,262.64/x
  3. Step 3: Cross multiply
    315,390x = 435,255.96 × 181,262.64
  4. Step 4: Simplify right side
    315,390x = 78,895,644,385.33
  5. Step 5: Solve for x
    x = 78,895,644,385.33/315,390
  6. Step 6: Final answer
    x = 250,152.65

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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.