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Finding the Fourth Proportional to 704,316.82, 971,950.06 and 382,020

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Solution

The fourth proportional to 704,316.82, 971,950.06 and 382,020 is: 527,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,316.82 : 971,950.06 = 382,020 : x
  2. Step 2: Convert to fraction form
    704,316.82/971,950.06 = 382,020/x
  3. Step 3: Cross multiply
    704,316.82x = 971,950.06 × 382,020
  4. Step 4: Simplify right side
    704,316.82x = 371,304,361,921.20
  5. Step 5: Solve for x
    x = 371,304,361,921.20/704,316.82
  6. Step 6: Final answer
    x = 527,183.72

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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.