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Finding the Fourth Proportional to 516,507.22, 774,774.69 and 161,521.24

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Solution

The fourth proportional to 516,507.22, 774,774.69 and 161,521.24 is: 242,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,507.22 : 774,774.69 = 161,521.24 : x
  2. Step 2: Convert to fraction form
    516,507.22/774,774.69 = 161,521.24/x
  3. Step 3: Cross multiply
    516,507.22x = 774,774.69 × 161,521.24
  4. Step 4: Simplify right side
    516,507.22x = 125,142,566,712.48
  5. Step 5: Solve for x
    x = 125,142,566,712.48/516,507.22
  6. Step 6: Final answer
    x = 242,286.19

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1.5x scale

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.