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Finding the Fourth Proportional to 498,409.13, 687,804.42 and 272,054.63

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Solution

The fourth proportional to 498,409.13, 687,804.42 and 272,054.63 is: 375,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,409.13 : 687,804.42 = 272,054.63 : x
  2. Step 2: Convert to fraction form
    498,409.13/687,804.42 = 272,054.63/x
  3. Step 3: Cross multiply
    498,409.13x = 687,804.42 × 272,054.63
  4. Step 4: Simplify right side
    498,409.13x = 187,120,376,995.47
  5. Step 5: Solve for x
    x = 187,120,376,995.47/498,409.13
  6. Step 6: Final answer
    x = 375,435.29

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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.