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Finding the Fourth Proportional to 371,811.52, 513,102.72 and 202,046.32

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Solution

The fourth proportional to 371,811.52, 513,102.72 and 202,046.32 is: 278,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,811.52 : 513,102.72 = 202,046.32 : x
  2. Step 2: Convert to fraction form
    371,811.52/513,102.72 = 202,046.32/x
  3. Step 3: Cross multiply
    371,811.52x = 513,102.72 × 202,046.32
  4. Step 4: Simplify right side
    371,811.52x = 103,670,516,357.99
  5. Step 5: Solve for x
    x = 103,670,516,357.99/371,811.52
  6. Step 6: Final answer
    x = 278,825.46

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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.