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Finding the Fourth Proportional to 386,568.64, 533,463.52 and 216,806.40

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Solution

The fourth proportional to 386,568.64, 533,463.52 and 216,806.40 is: 299,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,568.64 : 533,463.52 = 216,806.40 : x
  2. Step 2: Convert to fraction form
    386,568.64/533,463.52 = 216,806.40/x
  3. Step 3: Cross multiply
    386,568.64x = 533,463.52 × 216,806.40
  4. Step 4: Simplify right side
    386,568.64x = 115,658,305,302.53
  5. Step 5: Solve for x
    x = 115,658,305,302.53/386,568.64
  6. Step 6: Final answer
    x = 299,192.16

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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.