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Finding the Fourth Proportional to 346,409.28, 478,116 and 203,244.48

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Solution

The fourth proportional to 346,409.28, 478,116 and 203,244.48 is: 280,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,409.28 : 478,116 = 203,244.48 : x
  2. Step 2: Convert to fraction form
    346,409.28/478,116 = 203,244.48/x
  3. Step 3: Cross multiply
    346,409.28x = 478,116 × 203,244.48
  4. Step 4: Simplify right side
    346,409.28x = 97,174,437,799.68
  5. Step 5: Solve for x
    x = 97,174,437,799.68/346,409.28
  6. Step 6: Final answer
    x = 280,519.15

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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.