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Finding the Fourth Proportional to 376,160.88, 564,110.10 and 165,684

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Solution

The fourth proportional to 376,160.88, 564,110.10 and 165,684 is: 248,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,160.88 : 564,110.10 = 165,684 : x
  2. Step 2: Convert to fraction form
    376,160.88/564,110.10 = 165,684/x
  3. Step 3: Cross multiply
    376,160.88x = 564,110.10 × 165,684
  4. Step 4: Simplify right side
    376,160.88x = 93,464,017,808.40
  5. Step 5: Solve for x
    x = 93,464,017,808.40/376,160.88
  6. Step 6: Final answer
    x = 248,468.20

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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.