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Finding the Fourth Proportional to 520,231, 717,977.10 and 293,891.08

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Solution

The fourth proportional to 520,231, 717,977.10 and 293,891.08 is: 405,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,231 : 717,977.10 = 293,891.08 : x
  2. Step 2: Convert to fraction form
    520,231/717,977.10 = 293,891.08/x
  3. Step 3: Cross multiply
    520,231x = 717,977.10 × 293,891.08
  4. Step 4: Simplify right side
    520,231x = 211,007,065,334.27
  5. Step 5: Solve for x
    x = 211,007,065,334.27/520,231
  6. Step 6: Final answer
    x = 405,602.64

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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.