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Finding the Fourth Proportional to 661,678.23, 992,615.76 and 306,728.13

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Solution

The fourth proportional to 661,678.23, 992,615.76 and 306,728.13 is: 460,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,678.23 : 992,615.76 = 306,728.13 : x
  2. Step 2: Convert to fraction form
    661,678.23/992,615.76 = 306,728.13/x
  3. Step 3: Cross multiply
    661,678.23x = 992,615.76 × 306,728.13
  4. Step 4: Simplify right side
    661,678.23x = 304,463,175,873.33
  5. Step 5: Solve for x
    x = 304,463,175,873.33/661,678.23
  6. Step 6: Final answer
    x = 460,137.82

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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.