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Finding the Fourth Proportional to 456,625.90, 630,320.40 and 408,796.21

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Solution

The fourth proportional to 456,625.90, 630,320.40 and 408,796.21 is: 564,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,625.90 : 630,320.40 = 408,796.21 : x
  2. Step 2: Convert to fraction form
    456,625.90/630,320.40 = 408,796.21/x
  3. Step 3: Cross multiply
    456,625.90x = 630,320.40 × 408,796.21
  4. Step 4: Simplify right side
    456,625.90x = 257,672,585,410.10
  5. Step 5: Solve for x
    x = 257,672,585,410.10/456,625.90
  6. Step 6: Final answer
    x = 564,296.92

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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.