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Finding the Fourth Proportional to 469,691.55, 648,174.40 and 254,831.65

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Solution

The fourth proportional to 469,691.55, 648,174.40 and 254,831.65 is: 351,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,691.55 : 648,174.40 = 254,831.65 : x
  2. Step 2: Convert to fraction form
    469,691.55/648,174.40 = 254,831.65/x
  3. Step 3: Cross multiply
    469,691.55x = 648,174.40 × 254,831.65
  4. Step 4: Simplify right side
    469,691.55x = 165,175,349,582.25
  5. Step 5: Solve for x
    x = 165,175,349,582.25/469,691.55
  6. Step 6: Final answer
    x = 351,667.71

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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.