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Finding the Fourth Proportional to 478,160.25, 716,702.12 and 208,515.30

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Solution

The fourth proportional to 478,160.25, 716,702.12 and 208,515.30 is: 312,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,160.25 : 716,702.12 = 208,515.30 : x
  2. Step 2: Convert to fraction form
    478,160.25/716,702.12 = 208,515.30/x
  3. Step 3: Cross multiply
    478,160.25x = 716,702.12 × 208,515.30
  4. Step 4: Simplify right side
    478,160.25x = 149,443,352,936.35
  5. Step 5: Solve for x
    x = 149,443,352,936.35/478,160.25
  6. Step 6: Final answer
    x = 312,538.22

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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.