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Finding the Fourth Proportional to 547,154.94, 755,054 and 343,315.74

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Solution

The fourth proportional to 547,154.94, 755,054 and 343,315.74 is: 473,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,154.94 : 755,054 = 343,315.74 : x
  2. Step 2: Convert to fraction form
    547,154.94/755,054 = 343,315.74/x
  3. Step 3: Cross multiply
    547,154.94x = 755,054 × 343,315.74
  4. Step 4: Simplify right side
    547,154.94x = 259,221,922,749.96
  5. Step 5: Solve for x
    x = 259,221,922,749.96/547,154.94
  6. Step 6: Final answer
    x = 473,763.29

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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.