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Finding the Fourth Proportional to 513,507.24, 770,959.44 and 289,026.24

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Solution

The fourth proportional to 513,507.24, 770,959.44 and 289,026.24 is: 433,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,507.24 : 770,959.44 = 289,026.24 : x
  2. Step 2: Convert to fraction form
    513,507.24/770,959.44 = 289,026.24/x
  3. Step 3: Cross multiply
    513,507.24x = 770,959.44 × 289,026.24
  4. Step 4: Simplify right side
    513,507.24x = 222,827,508,135.71
  5. Step 5: Solve for x
    x = 222,827,508,135.71/513,507.24
  6. Step 6: Final answer
    x = 433,932.55

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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.