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Finding the Fourth Proportional to 421,937.57, 582,275.70 and 228,345.32

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Solution

The fourth proportional to 421,937.57, 582,275.70 and 228,345.32 is: 315,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,937.57 : 582,275.70 = 228,345.32 : x
  2. Step 2: Convert to fraction form
    421,937.57/582,275.70 = 228,345.32/x
  3. Step 3: Cross multiply
    421,937.57x = 582,275.70 × 228,345.32
  4. Step 4: Simplify right side
    421,937.57x = 132,959,932,500.41
  5. Step 5: Solve for x
    x = 132,959,932,500.41/421,937.57
  6. Step 6: Final answer
    x = 315,117.55

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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.