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Finding the Fourth Proportional to 663,203.36, 994,025.76 and 307,468.64

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Solution

The fourth proportional to 663,203.36, 994,025.76 and 307,468.64 is: 460,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,203.36 : 994,025.76 = 307,468.64 : x
  2. Step 2: Convert to fraction form
    663,203.36/994,025.76 = 307,468.64/x
  3. Step 3: Cross multiply
    663,203.36x = 994,025.76 × 307,468.64
  4. Step 4: Simplify right side
    663,203.36x = 305,631,748,552.17
  5. Step 5: Solve for x
    x = 305,631,748,552.17/663,203.36
  6. Step 6: Final answer
    x = 460,841.68

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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.