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Finding the Fourth Proportional to 497,760.40, 746,643.30 and 123,783.40

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Solution

The fourth proportional to 497,760.40, 746,643.30 and 123,783.40 is: 185,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,760.40 : 746,643.30 = 123,783.40 : x
  2. Step 2: Convert to fraction form
    497,760.40/746,643.30 = 123,783.40/x
  3. Step 3: Cross multiply
    497,760.40x = 746,643.30 × 123,783.40
  4. Step 4: Simplify right side
    497,760.40x = 92,422,046,261.22
  5. Step 5: Solve for x
    x = 92,422,046,261.22/497,760.40
  6. Step 6: Final answer
    x = 185,675.77

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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.