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Finding the Fourth Proportional to 647,143.42, 970,715.14 and 197,864.30

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Solution

The fourth proportional to 647,143.42, 970,715.14 and 197,864.30 is: 296,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,143.42 : 970,715.14 = 197,864.30 : x
  2. Step 2: Convert to fraction form
    647,143.42/970,715.14 = 197,864.30/x
  3. Step 3: Cross multiply
    647,143.42x = 970,715.14 × 197,864.30
  4. Step 4: Simplify right side
    647,143.42x = 192,069,870,686.18
  5. Step 5: Solve for x
    x = 192,069,870,686.18/647,143.42
  6. Step 6: Final answer
    x = 296,796.45

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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.