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Finding the Fourth Proportional to 426,594.88, 639,826.56 and 142,290.40

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Solution

The fourth proportional to 426,594.88, 639,826.56 and 142,290.40 is: 213,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,594.88 : 639,826.56 = 142,290.40 : x
  2. Step 2: Convert to fraction form
    426,594.88/639,826.56 = 142,290.40/x
  3. Step 3: Cross multiply
    426,594.88x = 639,826.56 × 142,290.40
  4. Step 4: Simplify right side
    426,594.88x = 91,041,177,153.02
  5. Step 5: Solve for x
    x = 91,041,177,153.02/426,594.88
  6. Step 6: Final answer
    x = 213,413.67

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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.