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Finding the Fourth Proportional to 208,412.60, 312,618.90 and 97,820.60

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Solution

The fourth proportional to 208,412.60, 312,618.90 and 97,820.60 is: 146,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.60 : 312,618.90 = 97,820.60 : x
  2. Step 2: Convert to fraction form
    208,412.60/312,618.90 = 97,820.60/x
  3. Step 3: Cross multiply
    208,412.60x = 312,618.90 × 97,820.60
  4. Step 4: Simplify right side
    208,412.60x = 30,580,568,369.34
  5. Step 5: Solve for x
    x = 30,580,568,369.34/208,412.60
  6. Step 6: Final answer
    x = 146,730.90

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1.5x scale

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.