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Finding the Fourth Proportional to 458,956.90, 688,435.22 and 143,413.80

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Solution

The fourth proportional to 458,956.90, 688,435.22 and 143,413.80 is: 215,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,956.90 : 688,435.22 = 143,413.80 : x
  2. Step 2: Convert to fraction form
    458,956.90/688,435.22 = 143,413.80/x
  3. Step 3: Cross multiply
    458,956.90x = 688,435.22 × 143,413.80
  4. Step 4: Simplify right side
    458,956.90x = 98,731,113,067.31
  5. Step 5: Solve for x
    x = 98,731,113,067.31/458,956.90
  6. Step 6: Final answer
    x = 215,120.67

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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.