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Finding the Fourth Proportional to 315,055.86, 472,867.86 and 213,608.52

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Solution

The fourth proportional to 315,055.86, 472,867.86 and 213,608.52 is: 320,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055.86 : 472,867.86 = 213,608.52 : x
  2. Step 2: Convert to fraction form
    315,055.86/472,867.86 = 213,608.52/x
  3. Step 3: Cross multiply
    315,055.86x = 472,867.86 × 213,608.52
  4. Step 4: Simplify right side
    315,055.86x = 101,008,603,730.17
  5. Step 5: Solve for x
    x = 101,008,603,730.17/315,055.86
  6. Step 6: Final answer
    x = 320,605.38

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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.