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Finding the Fourth Proportional to 538,637.80, 807,977.12 and 201,643

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Solution

The fourth proportional to 538,637.80, 807,977.12 and 201,643 is: 302,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,637.80 : 807,977.12 = 201,643 : x
  2. Step 2: Convert to fraction form
    538,637.80/807,977.12 = 201,643/x
  3. Step 3: Cross multiply
    538,637.80x = 807,977.12 × 201,643
  4. Step 4: Simplify right side
    538,637.80x = 162,922,930,408.16
  5. Step 5: Solve for x
    x = 162,922,930,408.16/538,637.80
  6. Step 6: Final answer
    x = 302,472.14

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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.