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Finding the Fourth Proportional to 409,333.33, 564,663.76 and 281,787.49

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Solution

The fourth proportional to 409,333.33, 564,663.76 and 281,787.49 is: 388,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,333.33 : 564,663.76 = 281,787.49 : x
  2. Step 2: Convert to fraction form
    409,333.33/564,663.76 = 281,787.49/x
  3. Step 3: Cross multiply
    409,333.33x = 564,663.76 × 281,787.49
  4. Step 4: Simplify right side
    409,333.33x = 159,115,183,624.36
  5. Step 5: Solve for x
    x = 159,115,183,624.36/409,333.33
  6. Step 6: Final answer
    x = 388,717.88

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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.