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Finding the Fourth Proportional to 547,974.72, 822,428.64 and 215,784

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Solution

The fourth proportional to 547,974.72, 822,428.64 and 215,784 is: 323,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,974.72 : 822,428.64 = 215,784 : x
  2. Step 2: Convert to fraction form
    547,974.72/822,428.64 = 215,784/x
  3. Step 3: Cross multiply
    547,974.72x = 822,428.64 × 215,784
  4. Step 4: Simplify right side
    547,974.72x = 177,466,941,653.76
  5. Step 5: Solve for x
    x = 177,466,941,653.76/547,974.72
  6. Step 6: Final answer
    x = 323,859.72

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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.