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Finding the Fourth Proportional to 978,234.42, 1,349,962.25 and 542,717.81

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Solution

The fourth proportional to 978,234.42, 1,349,962.25 and 542,717.81 is: 748,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,234.42 : 1,349,962.25 = 542,717.81 : x
  2. Step 2: Convert to fraction form
    978,234.42/1,349,962.25 = 542,717.81/x
  3. Step 3: Cross multiply
    978,234.42x = 1,349,962.25 × 542,717.81
  4. Step 4: Simplify right side
    978,234.42x = 732,648,555,902.67
  5. Step 5: Solve for x
    x = 732,648,555,902.67/978,234.42
  6. Step 6: Final answer
    x = 748,949.88

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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.