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Finding the Fourth Proportional to 261,820.78, 361,311.91 and 152,946.45

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Solution

The fourth proportional to 261,820.78, 361,311.91 and 152,946.45 is: 211,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820.78 : 361,311.91 = 152,946.45 : x
  2. Step 2: Convert to fraction form
    261,820.78/361,311.91 = 152,946.45/x
  3. Step 3: Cross multiply
    261,820.78x = 361,311.91 × 152,946.45
  4. Step 4: Simplify right side
    261,820.78x = 55,261,373,594.85
  5. Step 5: Solve for x
    x = 55,261,373,594.85/261,820.78
  6. Step 6: Final answer
    x = 211,065.65

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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.