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Finding the Fourth Proportional to 313,959.46, 470,955.54 and 103,613.80

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Solution

The fourth proportional to 313,959.46, 470,955.54 and 103,613.80 is: 155,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,959.46 : 470,955.54 = 103,613.80 : x
  2. Step 2: Convert to fraction form
    313,959.46/470,955.54 = 103,613.80/x
  3. Step 3: Cross multiply
    313,959.46x = 470,955.54 × 103,613.80
  4. Step 4: Simplify right side
    313,959.46x = 48,797,493,130.45
  5. Step 5: Solve for x
    x = 48,797,493,130.45/313,959.46
  6. Step 6: Final answer
    x = 155,426.10

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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.