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Finding the Fourth Proportional to 538,347.16, 806,759.16 and 298,566.64

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Solution

The fourth proportional to 538,347.16, 806,759.16 and 298,566.64 is: 447,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,347.16 : 806,759.16 = 298,566.64 : x
  2. Step 2: Convert to fraction form
    538,347.16/806,759.16 = 298,566.64/x
  3. Step 3: Cross multiply
    538,347.16x = 806,759.16 × 298,566.64
  4. Step 4: Simplify right side
    538,347.16x = 240,871,371,690.42
  5. Step 5: Solve for x
    x = 240,871,371,690.42/538,347.16
  6. Step 6: Final answer
    x = 447,427.59

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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.