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Finding the Fourth Proportional to 508,616.64, 701,671.68 and 307,296

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Solution

The fourth proportional to 508,616.64, 701,671.68 and 307,296 is: 423,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,616.64 : 701,671.68 = 307,296 : x
  2. Step 2: Convert to fraction form
    508,616.64/701,671.68 = 307,296/x
  3. Step 3: Cross multiply
    508,616.64x = 701,671.68 × 307,296
  4. Step 4: Simplify right side
    508,616.64x = 215,620,900,577.28
  5. Step 5: Solve for x
    x = 215,620,900,577.28/508,616.64
  6. Step 6: Final answer
    x = 423,935.99

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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.