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Finding the Fourth Proportional to 704,321.72, 971,958.30 and 382,031

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Solution

The fourth proportional to 704,321.72, 971,958.30 and 382,031 is: 527,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,321.72 : 971,958.30 = 382,031 : x
  2. Step 2: Convert to fraction form
    704,321.72/971,958.30 = 382,031/x
  3. Step 3: Cross multiply
    704,321.72x = 971,958.30 × 382,031
  4. Step 4: Simplify right side
    704,321.72x = 371,318,201,307.30
  5. Step 5: Solve for x
    x = 371,318,201,307.30/704,321.72
  6. Step 6: Final answer
    x = 527,199.70

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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.