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Finding the Fourth Proportional to 285,320.88, 393,745.46 and 157,999.14

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Solution

The fourth proportional to 285,320.88, 393,745.46 and 157,999.14 is: 218,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,320.88 : 393,745.46 = 157,999.14 : x
  2. Step 2: Convert to fraction form
    285,320.88/393,745.46 = 157,999.14/x
  3. Step 3: Cross multiply
    285,320.88x = 393,745.46 × 157,999.14
  4. Step 4: Simplify right side
    285,320.88x = 62,211,443,268.91
  5. Step 5: Solve for x
    x = 62,211,443,268.91/285,320.88
  6. Step 6: Final answer
    x = 218,040.28

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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.