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Finding the Fourth Proportional to 407,646.84, 611,003.70 and 158,115

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Solution

The fourth proportional to 407,646.84, 611,003.70 and 158,115 is: 236,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,646.84 : 611,003.70 = 158,115 : x
  2. Step 2: Convert to fraction form
    407,646.84/611,003.70 = 158,115/x
  3. Step 3: Cross multiply
    407,646.84x = 611,003.70 × 158,115
  4. Step 4: Simplify right side
    407,646.84x = 96,608,850,025.50
  5. Step 5: Solve for x
    x = 96,608,850,025.50/407,646.84
  6. Step 6: Final answer
    x = 236,991.53

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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.