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Finding the Fourth Proportional to 392,907.24, 542,277 and 231,801.66

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Solution

The fourth proportional to 392,907.24, 542,277 and 231,801.66 is: 319,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,907.24 : 542,277 = 231,801.66 : x
  2. Step 2: Convert to fraction form
    392,907.24/542,277 = 231,801.66/x
  3. Step 3: Cross multiply
    392,907.24x = 542,277 × 231,801.66
  4. Step 4: Simplify right side
    392,907.24x = 125,700,708,779.82
  5. Step 5: Solve for x
    x = 125,700,708,779.82/392,907.24
  6. Step 6: Final answer
    x = 319,924.64

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1.5x scale

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.