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Finding the Fourth Proportional to 509,765.40, 764,648.10 and 478,272.60

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Solution

The fourth proportional to 509,765.40, 764,648.10 and 478,272.60 is: 717,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,765.40 : 764,648.10 = 478,272.60 : x
  2. Step 2: Convert to fraction form
    509,765.40/764,648.10 = 478,272.60/x
  3. Step 3: Cross multiply
    509,765.40x = 764,648.10 × 478,272.60
  4. Step 4: Simplify right side
    509,765.40x = 365,710,234,872.06
  5. Step 5: Solve for x
    x = 365,710,234,872.06/509,765.40
  6. Step 6: Final answer
    x = 717,408.90

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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.