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Finding the Fourth Proportional to 655,461.57, 983,307.66 and 271,209.30

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Solution

The fourth proportional to 655,461.57, 983,307.66 and 271,209.30 is: 406,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,461.57 : 983,307.66 = 271,209.30 : x
  2. Step 2: Convert to fraction form
    655,461.57/983,307.66 = 271,209.30/x
  3. Step 3: Cross multiply
    655,461.57x = 983,307.66 × 271,209.30
  4. Step 4: Simplify right side
    655,461.57x = 266,682,182,153.24
  5. Step 5: Solve for x
    x = 266,682,182,153.24/655,461.57
  6. Step 6: Final answer
    x = 406,861.66

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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.