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Finding the Fourth Proportional to 498,804.48, 748,036.62 and 143,723.16

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Solution

The fourth proportional to 498,804.48, 748,036.62 and 143,723.16 is: 215,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,804.48 : 748,036.62 = 143,723.16 : x
  2. Step 2: Convert to fraction form
    498,804.48/748,036.62 = 143,723.16/x
  3. Step 3: Cross multiply
    498,804.48x = 748,036.62 × 143,723.16
  4. Step 4: Simplify right side
    498,804.48x = 107,510,186,822.12
  5. Step 5: Solve for x
    x = 107,510,186,822.12/498,804.48
  6. Step 6: Final answer
    x = 215,535.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.