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Finding the Fourth Proportional to 437,803.20, 656,868.84 and 153,515.16

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Solution

The fourth proportional to 437,803.20, 656,868.84 and 153,515.16 is: 230,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,803.20 : 656,868.84 = 153,515.16 : x
  2. Step 2: Convert to fraction form
    437,803.20/656,868.84 = 153,515.16/x
  3. Step 3: Cross multiply
    437,803.20x = 656,868.84 × 153,515.16
  4. Step 4: Simplify right side
    437,803.20x = 100,839,325,071.61
  5. Step 5: Solve for x
    x = 100,839,325,071.61/437,803.20
  6. Step 6: Final answer
    x = 230,330.26

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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.