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Finding the Fourth Proportional to 684,832.70, 945,096.98 and 378,904.13

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Solution

The fourth proportional to 684,832.70, 945,096.98 and 378,904.13 is: 522,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,832.70 : 945,096.98 = 378,904.13 : x
  2. Step 2: Convert to fraction form
    684,832.70/945,096.98 = 378,904.13/x
  3. Step 3: Cross multiply
    684,832.70x = 945,096.98 × 378,904.13
  4. Step 4: Simplify right side
    684,832.70x = 358,101,146,429.47
  5. Step 5: Solve for x
    x = 358,101,146,429.47/684,832.70
  6. Step 6: Final answer
    x = 522,903.11

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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.