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Finding the Fourth Proportional to 519,867.27, 717,117.54 and 312,991.86

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Solution

The fourth proportional to 519,867.27, 717,117.54 and 312,991.86 is: 431,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,867.27 : 717,117.54 = 312,991.86 : x
  2. Step 2: Convert to fraction form
    519,867.27/717,117.54 = 312,991.86/x
  3. Step 3: Cross multiply
    519,867.27x = 717,117.54 × 312,991.86
  4. Step 4: Simplify right side
    519,867.27x = 224,451,952,683.22
  5. Step 5: Solve for x
    x = 224,451,952,683.22/519,867.27
  6. Step 6: Final answer
    x = 431,748.57

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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.