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Finding the Fourth Proportional to 661,640.10, 992,978.55 and 306,698.10

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Solution

The fourth proportional to 661,640.10, 992,978.55 and 306,698.10 is: 460,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,640.10 : 992,978.55 = 306,698.10 : x
  2. Step 2: Convert to fraction form
    661,640.10/992,978.55 = 306,698.10/x
  3. Step 3: Cross multiply
    661,640.10x = 992,978.55 × 306,698.10
  4. Step 4: Simplify right side
    661,640.10x = 304,544,634,625.76
  5. Step 5: Solve for x
    x = 304,544,634,625.76/661,640.10
  6. Step 6: Final answer
    x = 460,287.45

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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.