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Finding the Fourth Proportional to 376,440, 564,660 and 113,784

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Solution

The fourth proportional to 376,440, 564,660 and 113,784 is: 170,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,440 : 564,660 = 113,784 : x
  2. Step 2: Convert to fraction form
    376,440/564,660 = 113,784/x
  3. Step 3: Cross multiply
    376,440x = 564,660 × 113,784
  4. Step 4: Simplify right side
    376,440x = 64,249,273,440
  5. Step 5: Solve for x
    x = 64,249,273,440/376,440
  6. Step 6: Final answer
    x = 170,676

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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.