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Finding the Fourth Proportional to 389,957.76, 584,816.64 and 202,867.20

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Solution

The fourth proportional to 389,957.76, 584,816.64 and 202,867.20 is: 304,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,957.76 : 584,816.64 = 202,867.20 : x
  2. Step 2: Convert to fraction form
    389,957.76/584,816.64 = 202,867.20/x
  3. Step 3: Cross multiply
    389,957.76x = 584,816.64 × 202,867.20
  4. Step 4: Simplify right side
    389,957.76x = 118,640,114,270.21
  5. Step 5: Solve for x
    x = 118,640,114,270.21/389,957.76
  6. Step 6: Final answer
    x = 304,238.37

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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.