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Finding the Fourth Proportional to 978,233.42, 1,349,960.87 and 542,716.81

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Solution

The fourth proportional to 978,233.42, 1,349,960.87 and 542,716.81 is: 748,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,233.42 : 1,349,960.87 = 542,716.81 : x
  2. Step 2: Convert to fraction form
    978,233.42/1,349,960.87 = 542,716.81/x
  3. Step 3: Cross multiply
    978,233.42x = 1,349,960.87 × 542,716.81
  4. Step 4: Simplify right side
    978,233.42x = 732,646,451,920.33
  5. Step 5: Solve for x
    x = 732,646,451,920.33/978,233.42
  6. Step 6: Final answer
    x = 748,948.50

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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.