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Finding the Fourth Proportional to 309,526.80, 464,421.42 and 169,121.40

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Solution

The fourth proportional to 309,526.80, 464,421.42 and 169,121.40 is: 253,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,526.80 : 464,421.42 = 169,121.40 : x
  2. Step 2: Convert to fraction form
    309,526.80/464,421.42 = 169,121.40/x
  3. Step 3: Cross multiply
    309,526.80x = 464,421.42 × 169,121.40
  4. Step 4: Simplify right side
    309,526.80x = 78,543,600,740.39
  5. Step 5: Solve for x
    x = 78,543,600,740.39/309,526.80
  6. Step 6: Final answer
    x = 253,753.80

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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.