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Finding the Fourth Proportional to 389,639.70, 584,459.55 and 140,289.30

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Solution

The fourth proportional to 389,639.70, 584,459.55 and 140,289.30 is: 210,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,639.70 : 584,459.55 = 140,289.30 : x
  2. Step 2: Convert to fraction form
    389,639.70/584,459.55 = 140,289.30/x
  3. Step 3: Cross multiply
    389,639.70x = 584,459.55 × 140,289.30
  4. Step 4: Simplify right side
    389,639.70x = 81,993,421,147.82
  5. Step 5: Solve for x
    x = 81,993,421,147.82/389,639.70
  6. Step 6: Final answer
    x = 210,433.95

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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.