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Finding the Fourth Proportional to 313,097.40, 469,905.30 and 144,876.60

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Solution

The fourth proportional to 313,097.40, 469,905.30 and 144,876.60 is: 217,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,097.40 : 469,905.30 = 144,876.60 : x
  2. Step 2: Convert to fraction form
    313,097.40/469,905.30 = 144,876.60/x
  3. Step 3: Cross multiply
    313,097.40x = 469,905.30 × 144,876.60
  4. Step 4: Simplify right side
    313,097.40x = 68,078,282,185.98
  5. Step 5: Solve for x
    x = 68,078,282,185.98/313,097.40
  6. Step 6: Final answer
    x = 217,434.84

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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.