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Finding the Fourth Proportional to 430,399.68, 645,677.88 and 142,227.80

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Solution

The fourth proportional to 430,399.68, 645,677.88 and 142,227.80 is: 213,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,399.68 : 645,677.88 = 142,227.80 : x
  2. Step 2: Convert to fraction form
    430,399.68/645,677.88 = 142,227.80/x
  3. Step 3: Cross multiply
    430,399.68x = 645,677.88 × 142,227.80
  4. Step 4: Simplify right side
    430,399.68x = 91,833,343,840.64
  5. Step 5: Solve for x
    x = 91,833,343,840.64/430,399.68
  6. Step 6: Final answer
    x = 213,367.60

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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.