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Finding the Fourth Proportional to 431,513.12, 646,678.56 and 273,852.20

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Solution

The fourth proportional to 431,513.12, 646,678.56 and 273,852.20 is: 410,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,513.12 : 646,678.56 = 273,852.20 : x
  2. Step 2: Convert to fraction form
    431,513.12/646,678.56 = 273,852.20/x
  3. Step 3: Cross multiply
    431,513.12x = 646,678.56 × 273,852.20
  4. Step 4: Simplify right side
    431,513.12x = 177,094,346,348.83
  5. Step 5: Solve for x
    x = 177,094,346,348.83/431,513.12
  6. Step 6: Final answer
    x = 410,403.16

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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.