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Finding the Fourth Proportional to 340,971.84, 511,354.08 and 119,304

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Solution

The fourth proportional to 340,971.84, 511,354.08 and 119,304 is: 178,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,971.84 : 511,354.08 = 119,304 : x
  2. Step 2: Convert to fraction form
    340,971.84/511,354.08 = 119,304/x
  3. Step 3: Cross multiply
    340,971.84x = 511,354.08 × 119,304
  4. Step 4: Simplify right side
    340,971.84x = 61,006,587,160.32
  5. Step 5: Solve for x
    x = 61,006,587,160.32/340,971.84
  6. Step 6: Final answer
    x = 178,919.72

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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.