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Finding the Fourth Proportional to 353,825.70, 530,957.25 and 143,465.46

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Solution

The fourth proportional to 353,825.70, 530,957.25 and 143,465.46 is: 215,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,825.70 : 530,957.25 = 143,465.46 : x
  2. Step 2: Convert to fraction form
    353,825.70/530,957.25 = 143,465.46/x
  3. Step 3: Cross multiply
    353,825.70x = 530,957.25 × 143,465.46
  4. Step 4: Simplify right side
    353,825.70x = 76,174,026,111.59
  5. Step 5: Solve for x
    x = 76,174,026,111.59/353,825.70
  6. Step 6: Final answer
    x = 215,286.87

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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.