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Finding the Fourth Proportional to 402,292.71, 603,429.66 and 202,559.45

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Solution

The fourth proportional to 402,292.71, 603,429.66 and 202,559.45 is: 303,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,292.71 : 603,429.66 = 202,559.45 : x
  2. Step 2: Convert to fraction form
    402,292.71/603,429.66 = 202,559.45/x
  3. Step 3: Cross multiply
    402,292.71x = 603,429.66 × 202,559.45
  4. Step 4: Simplify right side
    402,292.71x = 122,230,377,026.14
  5. Step 5: Solve for x
    x = 122,230,377,026.14/402,292.71
  6. Step 6: Final answer
    x = 303,834.43

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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.