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Finding the Fourth Proportional to 243,384.30, 364,580.71 and 198,565.38

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Solution

The fourth proportional to 243,384.30, 364,580.71 and 198,565.38 is: 297,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,384.30 : 364,580.71 = 198,565.38 : x
  2. Step 2: Convert to fraction form
    243,384.30/364,580.71 = 198,565.38/x
  3. Step 3: Cross multiply
    243,384.30x = 364,580.71 × 198,565.38
  4. Step 4: Simplify right side
    243,384.30x = 72,393,107,221.82
  5. Step 5: Solve for x
    x = 72,393,107,221.82/243,384.30
  6. Step 6: Final answer
    x = 297,443.62

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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.