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Finding the Fourth Proportional to 431,009.04, 646,512.35 and 194,074.32

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Solution

The fourth proportional to 431,009.04, 646,512.35 and 194,074.32 is: 291,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,009.04 : 646,512.35 = 194,074.32 : x
  2. Step 2: Convert to fraction form
    431,009.04/646,512.35 = 194,074.32/x
  3. Step 3: Cross multiply
    431,009.04x = 646,512.35 × 194,074.32
  4. Step 4: Simplify right side
    431,009.04x = 125,471,443,727.48
  5. Step 5: Solve for x
    x = 125,471,443,727.48/431,009.04
  6. Step 6: Final answer
    x = 291,110.93

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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.