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Finding the Fourth Proportional to 313,838, 470,730.30 and 124,246.80

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Solution

The fourth proportional to 313,838, 470,730.30 and 124,246.80 is: 186,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,838 : 470,730.30 = 124,246.80 : x
  2. Step 2: Convert to fraction form
    313,838/470,730.30 = 124,246.80/x
  3. Step 3: Cross multiply
    313,838x = 470,730.30 × 124,246.80
  4. Step 4: Simplify right side
    313,838x = 58,486,733,438.04
  5. Step 5: Solve for x
    x = 58,486,733,438.04/313,838
  6. Step 6: Final answer
    x = 186,359.63

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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.