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Finding the Fourth Proportional to 553,763.42, 764,193.55 and 299,114.61

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Solution

The fourth proportional to 553,763.42, 764,193.55 and 299,114.61 is: 412,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,763.42 : 764,193.55 = 299,114.61 : x
  2. Step 2: Convert to fraction form
    553,763.42/764,193.55 = 299,114.61/x
  3. Step 3: Cross multiply
    553,763.42x = 764,193.55 × 299,114.61
  4. Step 4: Simplify right side
    553,763.42x = 228,581,455,672.77
  5. Step 5: Solve for x
    x = 228,581,455,672.77/553,763.42
  6. Step 6: Final answer
    x = 412,778.18

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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.