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Finding the Fourth Proportional to 406,095.54, 609,246.99 and 121,785

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Solution

The fourth proportional to 406,095.54, 609,246.99 and 121,785 is: 182,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,095.54 : 609,246.99 = 121,785 : x
  2. Step 2: Convert to fraction form
    406,095.54/609,246.99 = 121,785/x
  3. Step 3: Cross multiply
    406,095.54x = 609,246.99 × 121,785
  4. Step 4: Simplify right side
    406,095.54x = 74,197,144,677.15
  5. Step 5: Solve for x
    x = 74,197,144,677.15/406,095.54
  6. Step 6: Final answer
    x = 182,708.59

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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.