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Finding the Fourth Proportional to 647,595.90, 971,396.27 and 198,315.02

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Solution

The fourth proportional to 647,595.90, 971,396.27 and 198,315.02 is: 297,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,595.90 : 971,396.27 = 198,315.02 : x
  2. Step 2: Convert to fraction form
    647,595.90/971,396.27 = 198,315.02/x
  3. Step 3: Cross multiply
    647,595.90x = 971,396.27 × 198,315.02
  4. Step 4: Simplify right side
    647,595.90x = 192,642,464,864.42
  5. Step 5: Solve for x
    x = 192,642,464,864.42/647,595.90
  6. Step 6: Final answer
    x = 297,473.26

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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.