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Finding the Fourth Proportional to 470,261.78, 649,001.28 and 266,348.96

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Solution

The fourth proportional to 470,261.78, 649,001.28 and 266,348.96 is: 367,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,261.78 : 649,001.28 = 266,348.96 : x
  2. Step 2: Convert to fraction form
    470,261.78/649,001.28 = 266,348.96/x
  3. Step 3: Cross multiply
    470,261.78x = 649,001.28 × 266,348.96
  4. Step 4: Simplify right side
    470,261.78x = 172,860,815,966.67
  5. Step 5: Solve for x
    x = 172,860,815,966.67/470,261.78
  6. Step 6: Final answer
    x = 367,584.23

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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.