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Finding the Fourth Proportional to 478,160.75, 716,702.87 and 208,515.80

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Solution

The fourth proportional to 478,160.75, 716,702.87 and 208,515.80 is: 312,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,160.75 : 716,702.87 = 208,515.80 : x
  2. Step 2: Convert to fraction form
    478,160.75/716,702.87 = 208,515.80/x
  3. Step 3: Cross multiply
    478,160.75x = 716,702.87 × 208,515.80
  4. Step 4: Simplify right side
    478,160.75x = 149,443,867,674.25
  5. Step 5: Solve for x
    x = 149,443,867,674.25/478,160.75
  6. Step 6: Final answer
    x = 312,538.97

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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.