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Finding the Fourth Proportional to 553,765.46, 764,196.65 and 299,116.64

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Solution

The fourth proportional to 553,765.46, 764,196.65 and 299,116.64 is: 412,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,765.46 : 764,196.65 = 299,116.64 : x
  2. Step 2: Convert to fraction form
    553,765.46/764,196.65 = 299,116.64/x
  3. Step 3: Cross multiply
    553,765.46x = 764,196.65 × 299,116.64
  4. Step 4: Simplify right side
    553,765.46x = 228,583,928,930.69
  5. Step 5: Solve for x
    x = 228,583,928,930.69/553,765.46
  6. Step 6: Final answer
    x = 412,781.13

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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.