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Finding the Fourth Proportional to 498,314.70, 747,350.55 and 143,291.70

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Solution

The fourth proportional to 498,314.70, 747,350.55 and 143,291.70 is: 214,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,314.70 : 747,350.55 = 143,291.70 : x
  2. Step 2: Convert to fraction form
    498,314.70/747,350.55 = 143,291.70/x
  3. Step 3: Cross multiply
    498,314.70x = 747,350.55 × 143,291.70
  4. Step 4: Simplify right side
    498,314.70x = 107,089,130,805.44
  5. Step 5: Solve for x
    x = 107,089,130,805.44/498,314.70
  6. Step 6: Final answer
    x = 214,902.61

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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.