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Finding the Fourth Proportional to 372,172, 513,597.36 and 202,409.77

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Solution

The fourth proportional to 372,172, 513,597.36 and 202,409.77 is: 279,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,172 : 513,597.36 = 202,409.77 : x
  2. Step 2: Convert to fraction form
    372,172/513,597.36 = 202,409.77/x
  3. Step 3: Cross multiply
    372,172x = 513,597.36 × 202,409.77
  4. Step 4: Simplify right side
    372,172x = 103,957,123,510.21
  5. Step 5: Solve for x
    x = 103,957,123,510.21/372,172
  6. Step 6: Final answer
    x = 279,325.48

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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.