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Finding the Fourth Proportional to 528,896.24, 729,696.57 and 338,019.74

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Solution

The fourth proportional to 528,896.24, 729,696.57 and 338,019.74 is: 466,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,896.24 : 729,696.57 = 338,019.74 : x
  2. Step 2: Convert to fraction form
    528,896.24/729,696.57 = 338,019.74/x
  3. Step 3: Cross multiply
    528,896.24x = 729,696.57 × 338,019.74
  4. Step 4: Simplify right side
    528,896.24x = 246,651,844,870.29
  5. Step 5: Solve for x
    x = 246,651,844,870.29/528,896.24
  6. Step 6: Final answer
    x = 466,352.05

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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.