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Finding the Fourth Proportional to 270,904.68, 406,606.50 and 137,880

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Solution

The fourth proportional to 270,904.68, 406,606.50 and 137,880 is: 206,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904.68 : 406,606.50 = 137,880 : x
  2. Step 2: Convert to fraction form
    270,904.68/406,606.50 = 137,880/x
  3. Step 3: Cross multiply
    270,904.68x = 406,606.50 × 137,880
  4. Step 4: Simplify right side
    270,904.68x = 56,062,904,220
  5. Step 5: Solve for x
    x = 56,062,904,220/270,904.68
  6. Step 6: Final answer
    x = 206,946.98

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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.