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Finding the Fourth Proportional to 312,656.61, 431,467.63 and 169,416.92

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Solution

The fourth proportional to 312,656.61, 431,467.63 and 169,416.92 is: 233,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,656.61 : 431,467.63 = 169,416.92 : x
  2. Step 2: Convert to fraction form
    312,656.61/431,467.63 = 169,416.92/x
  3. Step 3: Cross multiply
    312,656.61x = 431,467.63 × 169,416.92
  4. Step 4: Simplify right side
    312,656.61x = 73,097,917,609.43
  5. Step 5: Solve for x
    x = 73,097,917,609.43/312,656.61
  6. Step 6: Final answer
    x = 233,796.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.