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Finding the Fourth Proportional to 523,643.32, 722,628.45 and 297,288.82

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Solution

The fourth proportional to 523,643.32, 722,628.45 and 297,288.82 is: 410,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,643.32 : 722,628.45 = 297,288.82 : x
  2. Step 2: Convert to fraction form
    523,643.32/722,628.45 = 297,288.82/x
  3. Step 3: Cross multiply
    523,643.32x = 722,628.45 × 297,288.82
  4. Step 4: Simplify right side
    523,643.32x = 214,829,359,198.93
  5. Step 5: Solve for x
    x = 214,829,359,198.93/523,643.32
  6. Step 6: Final answer
    x = 410,258.95

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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.