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Finding the Fourth Proportional to 538,315.11, 806,710.95 and 298,534.47

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Solution

The fourth proportional to 538,315.11, 806,710.95 and 298,534.47 is: 447,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,315.11 : 806,710.95 = 298,534.47 : x
  2. Step 2: Convert to fraction form
    538,315.11/806,710.95 = 298,534.47/x
  3. Step 3: Cross multiply
    538,315.11x = 806,710.95 × 298,534.47
  4. Step 4: Simplify right side
    538,315.11x = 240,831,025,901.45
  5. Step 5: Solve for x
    x = 240,831,025,901.45/538,315.11
  6. Step 6: Final answer
    x = 447,379.28

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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.