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Finding the Fourth Proportional to 315,855.86, 435,882.21 and 172,615.87

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Solution

The fourth proportional to 315,855.86, 435,882.21 and 172,615.87 is: 238,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,855.86 : 435,882.21 = 172,615.87 : x
  2. Step 2: Convert to fraction form
    315,855.86/435,882.21 = 172,615.87/x
  3. Step 3: Cross multiply
    315,855.86x = 435,882.21 × 172,615.87
  4. Step 4: Simplify right side
    315,855.86x = 75,240,184,717.26
  5. Step 5: Solve for x
    x = 75,240,184,717.26/315,855.86
  6. Step 6: Final answer
    x = 238,210.51

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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.