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Finding the Fourth Proportional to 513,933.90, 709,230.33 and 278,187.65

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Solution

The fourth proportional to 513,933.90, 709,230.33 and 278,187.65 is: 383,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,933.90 : 709,230.33 = 278,187.65 : x
  2. Step 2: Convert to fraction form
    513,933.90/709,230.33 = 278,187.65/x
  3. Step 3: Cross multiply
    513,933.90x = 709,230.33 × 278,187.65
  4. Step 4: Simplify right side
    513,933.90x = 197,299,117,924.89
  5. Step 5: Solve for x
    x = 197,299,117,924.89/513,933.90
  6. Step 6: Final answer
    x = 383,899.80

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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.