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Finding the Fourth Proportional to 372,602, 514,190.76 and 202,826

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Solution

The fourth proportional to 372,602, 514,190.76 and 202,826 is: 279,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,602 : 514,190.76 = 202,826 : x
  2. Step 2: Convert to fraction form
    372,602/514,190.76 = 202,826/x
  3. Step 3: Cross multiply
    372,602x = 514,190.76 × 202,826
  4. Step 4: Simplify right side
    372,602x = 104,291,255,087.76
  5. Step 5: Solve for x
    x = 104,291,255,087.76/372,602
  6. Step 6: Final answer
    x = 279,899.88

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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.