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Finding the Fourth Proportional to 315,309.25, 472,570.23 and 157,582.81

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Solution

The fourth proportional to 315,309.25, 472,570.23 and 157,582.81 is: 236,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,309.25 : 472,570.23 = 157,582.81 : x
  2. Step 2: Convert to fraction form
    315,309.25/472,570.23 = 157,582.81/x
  3. Step 3: Cross multiply
    315,309.25x = 472,570.23 × 157,582.81
  4. Step 4: Simplify right side
    315,309.25x = 74,468,944,765.75
  5. Step 5: Solve for x
    x = 74,468,944,765.75/315,309.25
  6. Step 6: Final answer
    x = 236,177.48

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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.