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Finding the Fourth Proportional to 531,123.53, 796,920.84 and 278,343.95

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Solution

The fourth proportional to 531,123.53, 796,920.84 and 278,343.95 is: 417,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,123.53 : 796,920.84 = 278,343.95 : x
  2. Step 2: Convert to fraction form
    531,123.53/796,920.84 = 278,343.95/x
  3. Step 3: Cross multiply
    531,123.53x = 796,920.84 × 278,343.95
  4. Step 4: Simplify right side
    531,123.53x = 221,818,094,442.92
  5. Step 5: Solve for x
    x = 221,818,094,442.92/531,123.53
  6. Step 6: Final answer
    x = 417,639.37

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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.