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Finding the Fourth Proportional to 390,187.13, 585,011.77 and 153,556.97

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Solution

The fourth proportional to 390,187.13, 585,011.77 and 153,556.97 is: 230,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,187.13 : 585,011.77 = 153,556.97 : x
  2. Step 2: Convert to fraction form
    390,187.13/585,011.77 = 153,556.97/x
  3. Step 3: Cross multiply
    390,187.13x = 585,011.77 × 153,556.97
  4. Step 4: Simplify right side
    390,187.13x = 89,832,631,506.59
  5. Step 5: Solve for x
    x = 89,832,631,506.59/390,187.13
  6. Step 6: Final answer
    x = 230,229.61

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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.