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Finding the Fourth Proportional to 270,703.40, 406,080.70 and 73,711.40

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Solution

The fourth proportional to 270,703.40, 406,080.70 and 73,711.40 is: 110,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,703.40 : 406,080.70 = 73,711.40 : x
  2. Step 2: Convert to fraction form
    270,703.40/406,080.70 = 73,711.40/x
  3. Step 3: Cross multiply
    270,703.40x = 406,080.70 × 73,711.40
  4. Step 4: Simplify right side
    270,703.40x = 29,932,776,909.98
  5. Step 5: Solve for x
    x = 29,932,776,909.98/270,703.40
  6. Step 6: Final answer
    x = 110,574.07

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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.