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Finding the Fourth Proportional to 313,820.30, 470,730.46 and 187,849.10

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Solution

The fourth proportional to 313,820.30, 470,730.46 and 187,849.10 is: 281,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.30 : 470,730.46 = 187,849.10 : x
  2. Step 2: Convert to fraction form
    313,820.30/470,730.46 = 187,849.10/x
  3. Step 3: Cross multiply
    313,820.30x = 470,730.46 × 187,849.10
  4. Step 4: Simplify right side
    313,820.30x = 88,426,293,253.59
  5. Step 5: Solve for x
    x = 88,426,293,253.59/313,820.30
  6. Step 6: Final answer
    x = 281,773.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.