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Finding the Fourth Proportional to 310,643.64, 428,172 and 219,883.20

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Solution

The fourth proportional to 310,643.64, 428,172 and 219,883.20 is: 303,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,643.64 : 428,172 = 219,883.20 : x
  2. Step 2: Convert to fraction form
    310,643.64/428,172 = 219,883.20/x
  3. Step 3: Cross multiply
    310,643.64x = 428,172 × 219,883.20
  4. Step 4: Simplify right side
    310,643.64x = 94,147,829,510.40
  5. Step 5: Solve for x
    x = 94,147,829,510.40/310,643.64
  6. Step 6: Final answer
    x = 303,073.42

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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.