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Finding the Fourth Proportional to 208,408.60, 312,612.90 and 97,816.60

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Solution

The fourth proportional to 208,408.60, 312,612.90 and 97,816.60 is: 146,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,408.60 : 312,612.90 = 97,816.60 : x
  2. Step 2: Convert to fraction form
    208,408.60/312,612.90 = 97,816.60/x
  3. Step 3: Cross multiply
    208,408.60x = 312,612.90 × 97,816.60
  4. Step 4: Simplify right side
    208,408.60x = 30,578,730,994.14
  5. Step 5: Solve for x
    x = 30,578,730,994.14/208,408.60
  6. Step 6: Final answer
    x = 146,724.90

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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.