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Finding the Fourth Proportional to 517,396.40, 776,094.60 and 391,425.20

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Solution

The fourth proportional to 517,396.40, 776,094.60 and 391,425.20 is: 587,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,396.40 : 776,094.60 = 391,425.20 : x
  2. Step 2: Convert to fraction form
    517,396.40/776,094.60 = 391,425.20/x
  3. Step 3: Cross multiply
    517,396.40x = 776,094.60 × 391,425.20
  4. Step 4: Simplify right side
    517,396.40x = 303,782,984,023.92
  5. Step 5: Solve for x
    x = 303,782,984,023.92/517,396.40
  6. Step 6: Final answer
    x = 587,137.80

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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.