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Finding the Fourth Proportional to 513,751.74, 709,010.19 and 287,398.86

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Solution

The fourth proportional to 513,751.74, 709,010.19 and 287,398.86 is: 396,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,751.74 : 709,010.19 = 287,398.86 : x
  2. Step 2: Convert to fraction form
    513,751.74/709,010.19 = 287,398.86/x
  3. Step 3: Cross multiply
    513,751.74x = 709,010.19 × 287,398.86
  4. Step 4: Simplify right side
    513,751.74x = 203,768,720,334.38
  5. Step 5: Solve for x
    x = 203,768,720,334.38/513,751.74
  6. Step 6: Final answer
    x = 396,628.77

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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.