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Finding the Fourth Proportional to 647,071.34, 970,609.50 and 197,790.53

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Solution

The fourth proportional to 647,071.34, 970,609.50 and 197,790.53 is: 296,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,071.34 : 970,609.50 = 197,790.53 : x
  2. Step 2: Convert to fraction form
    647,071.34/970,609.50 = 197,790.53/x
  3. Step 3: Cross multiply
    647,071.34x = 970,609.50 × 197,790.53
  4. Step 4: Simplify right side
    647,071.34x = 191,977,362,574.99
  5. Step 5: Solve for x
    x = 191,977,362,574.99/647,071.34
  6. Step 6: Final answer
    x = 296,686.55

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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.