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Finding the Fourth Proportional to 525,438, 725,121.72 and 286,974

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Solution

The fourth proportional to 525,438, 725,121.72 and 286,974 is: 396,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,438 : 725,121.72 = 286,974 : x
  2. Step 2: Convert to fraction form
    525,438/725,121.72 = 286,974/x
  3. Step 3: Cross multiply
    525,438x = 725,121.72 × 286,974
  4. Step 4: Simplify right side
    525,438x = 208,091,080,475.28
  5. Step 5: Solve for x
    x = 208,091,080,475.28/525,438
  6. Step 6: Final answer
    x = 396,033.56

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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.