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Finding the Fourth Proportional to 315,498.84, 435,426.58 and 179,565.84

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Solution

The fourth proportional to 315,498.84, 435,426.58 and 179,565.84 is: 247,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,498.84 : 435,426.58 = 179,565.84 : x
  2. Step 2: Convert to fraction form
    315,498.84/435,426.58 = 179,565.84/x
  3. Step 3: Cross multiply
    315,498.84x = 435,426.58 × 179,565.84
  4. Step 4: Simplify right side
    315,498.84x = 78,187,739,596.03
  5. Step 5: Solve for x
    x = 78,187,739,596.03/315,498.84
  6. Step 6: Final answer
    x = 247,822.59

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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.