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Finding the Fourth Proportional to 389,880.53, 584,703.08 and 202,789.97

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Solution

The fourth proportional to 389,880.53, 584,703.08 and 202,789.97 is: 304,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880.53 : 584,703.08 = 202,789.97 : x
  2. Step 2: Convert to fraction form
    389,880.53/584,703.08 = 202,789.97/x
  3. Step 3: Cross multiply
    389,880.53x = 584,703.08 × 202,789.97
  4. Step 4: Simplify right side
    389,880.53x = 118,571,919,038.16
  5. Step 5: Solve for x
    x = 118,571,919,038.16/389,880.53
  6. Step 6: Final answer
    x = 304,123.72

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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.