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Finding the Fourth Proportional to 377,598.16, 521,001.80 and 218,530

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Solution

The fourth proportional to 377,598.16, 521,001.80 and 218,530 is: 301,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,598.16 : 521,001.80 = 218,530 : x
  2. Step 2: Convert to fraction form
    377,598.16/521,001.80 = 218,530/x
  3. Step 3: Cross multiply
    377,598.16x = 521,001.80 × 218,530
  4. Step 4: Simplify right side
    377,598.16x = 113,854,523,354
  5. Step 5: Solve for x
    x = 113,854,523,354/377,598.16
  6. Step 6: Final answer
    x = 301,522.98

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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.