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Finding the Fourth Proportional to 319,054.92, 440,298.74 and 175,820.09

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Solution

The fourth proportional to 319,054.92, 440,298.74 and 175,820.09 is: 242,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,054.92 : 440,298.74 = 175,820.09 : x
  2. Step 2: Convert to fraction form
    319,054.92/440,298.74 = 175,820.09/x
  3. Step 3: Cross multiply
    319,054.92x = 440,298.74 × 175,820.09
  4. Step 4: Simplify right side
    319,054.92x = 77,413,361,342.76
  5. Step 5: Solve for x
    x = 77,413,361,342.76/319,054.92
  6. Step 6: Final answer
    x = 242,633.34

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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.