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Finding the Fourth Proportional to 313,810.70, 470,716.06 and 219,332.30

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Solution

The fourth proportional to 313,810.70, 470,716.06 and 219,332.30 is: 328,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,810.70 : 470,716.06 = 219,332.30 : x
  2. Step 2: Convert to fraction form
    313,810.70/470,716.06 = 219,332.30/x
  3. Step 3: Cross multiply
    313,810.70x = 470,716.06 × 219,332.30
  4. Step 4: Simplify right side
    313,810.70x = 103,243,236,086.74
  5. Step 5: Solve for x
    x = 103,243,236,086.74/313,810.70
  6. Step 6: Final answer
    x = 328,998.46

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1.5x scale

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.