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Finding the Fourth Proportional to 507,514.20, 700,320.78 and 303,523.80

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Solution

The fourth proportional to 507,514.20, 700,320.78 and 303,523.80 is: 418,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,514.20 : 700,320.78 = 303,523.80 : x
  2. Step 2: Convert to fraction form
    507,514.20/700,320.78 = 303,523.80/x
  3. Step 3: Cross multiply
    507,514.20x = 700,320.78 × 303,523.80
  4. Step 4: Simplify right side
    507,514.20x = 212,564,024,364.56
  5. Step 5: Solve for x
    x = 212,564,024,364.56/507,514.20
  6. Step 6: Final answer
    x = 418,833.65

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1.5x scale

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.