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Finding the Fourth Proportional to 285,525.44, 428,356.24 and 98,538.56

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Solution

The fourth proportional to 285,525.44, 428,356.24 and 98,538.56 is: 147,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,525.44 : 428,356.24 = 98,538.56 : x
  2. Step 2: Convert to fraction form
    285,525.44/428,356.24 = 98,538.56/x
  3. Step 3: Cross multiply
    285,525.44x = 428,356.24 × 98,538.56
  4. Step 4: Simplify right side
    285,525.44x = 42,209,607,056.61
  5. Step 5: Solve for x
    x = 42,209,607,056.61/285,525.44
  6. Step 6: Final answer
    x = 147,831.34

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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.