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Finding the Fourth Proportional to 312,853.42, 469,419.68 and 144,283.26

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Solution

The fourth proportional to 312,853.42, 469,419.68 and 144,283.26 is: 216,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,853.42 : 469,419.68 = 144,283.26 : x
  2. Step 2: Convert to fraction form
    312,853.42/469,419.68 = 144,283.26/x
  3. Step 3: Cross multiply
    312,853.42x = 469,419.68 × 144,283.26
  4. Step 4: Simplify right side
    312,853.42x = 67,729,401,738.56
  5. Step 5: Solve for x
    x = 67,729,401,738.56/312,853.42
  6. Step 6: Final answer
    x = 216,489.25

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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.