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Finding the Fourth Proportional to 288,006.97, 397,599.05 and 210,395.47

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Solution

The fourth proportional to 288,006.97, 397,599.05 and 210,395.47 is: 290,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,006.97 : 397,599.05 = 210,395.47 : x
  2. Step 2: Convert to fraction form
    288,006.97/397,599.05 = 210,395.47/x
  3. Step 3: Cross multiply
    288,006.97x = 397,599.05 × 210,395.47
  4. Step 4: Simplify right side
    288,006.97x = 83,653,037,944.33
  5. Step 5: Solve for x
    x = 83,653,037,944.33/288,006.97
  6. Step 6: Final answer
    x = 290,454.91

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1.5x scale

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.