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Finding the Fourth Proportional to 304,728, 420,385.08 and 197,332.64

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Solution

The fourth proportional to 304,728, 420,385.08 and 197,332.64 is: 272,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,728 : 420,385.08 = 197,332.64 : x
  2. Step 2: Convert to fraction form
    304,728/420,385.08 = 197,332.64/x
  3. Step 3: Cross multiply
    304,728x = 420,385.08 × 197,332.64
  4. Step 4: Simplify right side
    304,728x = 82,955,695,551.09
  5. Step 5: Solve for x
    x = 82,955,695,551.09/304,728
  6. Step 6: Final answer
    x = 272,228.66

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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.