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Finding the Fourth Proportional to 313,107.12, 470,307.53 and 299,462.28

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Solution

The fourth proportional to 313,107.12, 470,307.53 and 299,462.28 is: 449,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,107.12 : 470,307.53 = 299,462.28 : x
  2. Step 2: Convert to fraction form
    313,107.12/470,307.53 = 299,462.28/x
  3. Step 3: Cross multiply
    313,107.12x = 470,307.53 × 299,462.28
  4. Step 4: Simplify right side
    313,107.12x = 140,839,364,219.97
  5. Step 5: Solve for x
    x = 140,839,364,219.97/313,107.12
  6. Step 6: Final answer
    x = 449,812.08

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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.