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Finding the Fourth Proportional to 402,065.80, 602,807.10 and 165,286.60

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Solution

The fourth proportional to 402,065.80, 602,807.10 and 165,286.60 is: 247,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,065.80 : 602,807.10 = 165,286.60 : x
  2. Step 2: Convert to fraction form
    402,065.80/602,807.10 = 165,286.60/x
  3. Step 3: Cross multiply
    402,065.80x = 602,807.10 × 165,286.60
  4. Step 4: Simplify right side
    402,065.80x = 99,635,936,014.86
  5. Step 5: Solve for x
    x = 99,635,936,014.86/402,065.80
  6. Step 6: Final answer
    x = 247,810.03

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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.