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Finding the Fourth Proportional to 523,727.64, 722,767.86 and 308,876.76

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Solution

The fourth proportional to 523,727.64, 722,767.86 and 308,876.76 is: 426,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,727.64 : 722,767.86 = 308,876.76 : x
  2. Step 2: Convert to fraction form
    523,727.64/722,767.86 = 308,876.76/x
  3. Step 3: Cross multiply
    523,727.64x = 722,767.86 × 308,876.76
  4. Step 4: Simplify right side
    523,727.64x = 223,246,194,828.93
  5. Step 5: Solve for x
    x = 223,246,194,828.93/523,727.64
  6. Step 6: Final answer
    x = 426,263.92

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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.