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Finding the Fourth Proportional to 571,643.20, 788,815.92 and 316,993.60

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Solution

The fourth proportional to 571,643.20, 788,815.92 and 316,993.60 is: 437,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,643.20 : 788,815.92 = 316,993.60 : x
  2. Step 2: Convert to fraction form
    571,643.20/788,815.92 = 316,993.60/x
  3. Step 3: Cross multiply
    571,643.20x = 788,815.92 × 316,993.60
  4. Step 4: Simplify right side
    571,643.20x = 250,049,598,218.11
  5. Step 5: Solve for x
    x = 250,049,598,218.11/571,643.20
  6. Step 6: Final answer
    x = 437,422.50

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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.