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Finding the Fourth Proportional to 651,882.47, 978,012.32 and 272,607.44

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Solution

The fourth proportional to 651,882.47, 978,012.32 and 272,607.44 is: 408,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,882.47 : 978,012.32 = 272,607.44 : x
  2. Step 2: Convert to fraction form
    651,882.47/978,012.32 = 272,607.44/x
  3. Step 3: Cross multiply
    651,882.47x = 978,012.32 × 272,607.44
  4. Step 4: Simplify right side
    651,882.47x = 266,613,428,590.56
  5. Step 5: Solve for x
    x = 266,613,428,590.56/651,882.47
  6. Step 6: Final answer
    x = 408,990.03

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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.