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Finding the Fourth Proportional to 315,422.86, 472,649.72 and 214,089.13

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Solution

The fourth proportional to 315,422.86, 472,649.72 and 214,089.13 is: 320,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422.86 : 472,649.72 = 214,089.13 : x
  2. Step 2: Convert to fraction form
    315,422.86/472,649.72 = 214,089.13/x
  3. Step 3: Cross multiply
    315,422.86x = 472,649.72 × 214,089.13
  4. Step 4: Simplify right side
    315,422.86x = 101,189,167,349.54
  5. Step 5: Solve for x
    x = 101,189,167,349.54/315,422.86
  6. Step 6: Final answer
    x = 320,804.80

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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.