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Finding the Fourth Proportional to 406,102.68, 609,292.46 and 121,800.17

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Solution

The fourth proportional to 406,102.68, 609,292.46 and 121,800.17 is: 182,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,102.68 : 609,292.46 = 121,800.17 : x
  2. Step 2: Convert to fraction form
    406,102.68/609,292.46 = 121,800.17/x
  3. Step 3: Cross multiply
    406,102.68x = 609,292.46 × 121,800.17
  4. Step 4: Simplify right side
    406,102.68x = 74,211,927,035.45
  5. Step 5: Solve for x
    x = 74,211,927,035.45/406,102.68
  6. Step 6: Final answer
    x = 182,741.78

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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.