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Finding the Fourth Proportional to 553,916.74, 764,405.50 and 299,267.86

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Solution

The fourth proportional to 553,916.74, 764,405.50 and 299,267.86 is: 412,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,916.74 : 764,405.50 = 299,267.86 : x
  2. Step 2: Convert to fraction form
    553,916.74/764,405.50 = 299,267.86/x
  3. Step 3: Cross multiply
    553,916.74x = 764,405.50 × 299,267.86
  4. Step 4: Simplify right side
    553,916.74x = 228,761,998,157.23
  5. Step 5: Solve for x
    x = 228,761,998,157.23/553,916.74
  6. Step 6: Final answer
    x = 412,989.86

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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.