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Finding the Fourth Proportional to 389,757.80, 538,237.20 and 368,530.16

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Solution

The fourth proportional to 389,757.80, 538,237.20 and 368,530.16 is: 508,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,757.80 : 538,237.20 = 368,530.16 : x
  2. Step 2: Convert to fraction form
    389,757.80/538,237.20 = 368,530.16/x
  3. Step 3: Cross multiply
    389,757.80x = 538,237.20 × 368,530.16
  4. Step 4: Simplify right side
    389,757.80x = 198,356,636,900.12
  5. Step 5: Solve for x
    x = 198,356,636,900.12/389,757.80
  6. Step 6: Final answer
    x = 508,922.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.