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Finding the Fourth Proportional to 406,544.17, 609,913.15 and 140,307

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Solution

The fourth proportional to 406,544.17, 609,913.15 and 140,307 is: 210,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,544.17 : 609,913.15 = 140,307 : x
  2. Step 2: Convert to fraction form
    406,544.17/609,913.15 = 140,307/x
  3. Step 3: Cross multiply
    406,544.17x = 609,913.15 × 140,307
  4. Step 4: Simplify right side
    406,544.17x = 85,575,084,337.05
  5. Step 5: Solve for x
    x = 85,575,084,337.05/406,544.17
  6. Step 6: Final answer
    x = 210,493.94

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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.