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Finding the Fourth Proportional to 243,065.40, 364,598.10 and 223,819.80

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Solution

The fourth proportional to 243,065.40, 364,598.10 and 223,819.80 is: 335,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,065.40 : 364,598.10 = 223,819.80 : x
  2. Step 2: Convert to fraction form
    243,065.40/364,598.10 = 223,819.80/x
  3. Step 3: Cross multiply
    243,065.40x = 364,598.10 × 223,819.80
  4. Step 4: Simplify right side
    243,065.40x = 81,604,273,822.38
  5. Step 5: Solve for x
    x = 81,604,273,822.38/243,065.40
  6. Step 6: Final answer
    x = 335,729.70

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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.