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Finding the Fourth Proportional to 406,686.72, 609,880.32 and 140,378.88

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Solution

The fourth proportional to 406,686.72, 609,880.32 and 140,378.88 is: 210,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,686.72 : 609,880.32 = 140,378.88 : x
  2. Step 2: Convert to fraction form
    406,686.72/609,880.32 = 140,378.88/x
  3. Step 3: Cross multiply
    406,686.72x = 609,880.32 × 140,378.88
  4. Step 4: Simplify right side
    406,686.72x = 85,614,316,255.64
  5. Step 5: Solve for x
    x = 85,614,316,255.64/406,686.72
  6. Step 6: Final answer
    x = 210,516.63

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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.