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Finding the Fourth Proportional to 387,497.52, 534,794.40 and 217,728

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Solution

The fourth proportional to 387,497.52, 534,794.40 and 217,728 is: 300,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,497.52 : 534,794.40 = 217,728 : x
  2. Step 2: Convert to fraction form
    387,497.52/534,794.40 = 217,728/x
  3. Step 3: Cross multiply
    387,497.52x = 534,794.40 × 217,728
  4. Step 4: Simplify right side
    387,497.52x = 116,439,715,123.20
  5. Step 5: Solve for x
    x = 116,439,715,123.20/387,497.52
  6. Step 6: Final answer
    x = 300,491.51

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1.5x scale

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.