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Finding the Fourth Proportional to 406,756.45, 610,165.86 and 136,885.92

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Solution

The fourth proportional to 406,756.45, 610,165.86 and 136,885.92 is: 205,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,756.45 : 610,165.86 = 136,885.92 : x
  2. Step 2: Convert to fraction form
    406,756.45/610,165.86 = 136,885.92/x
  3. Step 3: Cross multiply
    406,756.45x = 610,165.86 × 136,885.92
  4. Step 4: Simplify right side
    406,756.45x = 83,523,115,098.69
  5. Step 5: Solve for x
    x = 83,523,115,098.69/406,756.45
  6. Step 6: Final answer
    x = 205,339.37

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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.