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Finding the Fourth Proportional to 313,810.30, 470,715.46 and 187,839.10

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Solution

The fourth proportional to 313,810.30, 470,715.46 and 187,839.10 is: 281,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,810.30 : 470,715.46 = 187,839.10 : x
  2. Step 2: Convert to fraction form
    313,810.30/470,715.46 = 187,839.10/x
  3. Step 3: Cross multiply
    313,810.30x = 470,715.46 × 187,839.10
  4. Step 4: Simplify right side
    313,810.30x = 88,418,768,362.49
  5. Step 5: Solve for x
    x = 88,418,768,362.49/313,810.30
  6. Step 6: Final answer
    x = 281,758.66

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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.