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Finding the Fourth Proportional to 251,505, 346,901.13 and 165,436.83

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Solution

The fourth proportional to 251,505, 346,901.13 and 165,436.83 is: 228,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,505 : 346,901.13 = 165,436.83 : x
  2. Step 2: Convert to fraction form
    251,505/346,901.13 = 165,436.83/x
  3. Step 3: Cross multiply
    251,505x = 346,901.13 × 165,436.83
  4. Step 4: Simplify right side
    251,505x = 57,390,223,270.62
  5. Step 5: Solve for x
    x = 57,390,223,270.62/251,505
  6. Step 6: Final answer
    x = 228,187.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.