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Finding the Fourth Proportional to 346,753.81, 520,236.96 and 310,989.07

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Solution

The fourth proportional to 346,753.81, 520,236.96 and 310,989.07 is: 466,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,753.81 : 520,236.96 = 310,989.07 : x
  2. Step 2: Convert to fraction form
    346,753.81/520,236.96 = 310,989.07/x
  3. Step 3: Cross multiply
    346,753.81x = 520,236.96 × 310,989.07
  4. Step 4: Simplify right side
    346,753.81x = 161,788,008,370.03
  5. Step 5: Solve for x
    x = 161,788,008,370.03/346,753.81
  6. Step 6: Final answer
    x = 466,578.89

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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.