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Finding the Fourth Proportional to 439,574.34, 659,460.96 and 140,071.98

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Solution

The fourth proportional to 439,574.34, 659,460.96 and 140,071.98 is: 210,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,574.34 : 659,460.96 = 140,071.98 : x
  2. Step 2: Convert to fraction form
    439,574.34/659,460.96 = 140,071.98/x
  3. Step 3: Cross multiply
    439,574.34x = 659,460.96 × 140,071.98
  4. Step 4: Simplify right side
    439,574.34x = 92,372,002,399.90
  5. Step 5: Solve for x
    x = 92,372,002,399.90/439,574.34
  6. Step 6: Final answer
    x = 210,139.66

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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.