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Finding the Fourth Proportional to 426,485.86, 639,684.88 and 142,145.70

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Solution

The fourth proportional to 426,485.86, 639,684.88 and 142,145.70 is: 213,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,485.86 : 639,684.88 = 142,145.70 : x
  2. Step 2: Convert to fraction form
    426,485.86/639,684.88 = 142,145.70/x
  3. Step 3: Cross multiply
    426,485.86x = 639,684.88 × 142,145.70
  4. Step 4: Simplify right side
    426,485.86x = 90,928,455,047.02
  5. Step 5: Solve for x
    x = 90,928,455,047.02/426,485.86
  6. Step 6: Final answer
    x = 213,203.92

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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.