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Finding the Fourth Proportional to 457,352.82, 630,791.48 and 312,275.30

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Solution

The fourth proportional to 457,352.82, 630,791.48 and 312,275.30 is: 430,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,352.82 : 630,791.48 = 312,275.30 : x
  2. Step 2: Convert to fraction form
    457,352.82/630,791.48 = 312,275.30/x
  3. Step 3: Cross multiply
    457,352.82x = 630,791.48 × 312,275.30
  4. Step 4: Simplify right side
    457,352.82x = 196,980,593,939.11
  5. Step 5: Solve for x
    x = 196,980,593,939.11/457,352.82
  6. Step 6: Final answer
    x = 430,697.23

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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.