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Finding the Fourth Proportional to 313,947.80, 470,921.70 and 207,659.60

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Solution

The fourth proportional to 313,947.80, 470,921.70 and 207,659.60 is: 311,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,947.80 : 470,921.70 = 207,659.60 : x
  2. Step 2: Convert to fraction form
    313,947.80/470,921.70 = 207,659.60/x
  3. Step 3: Cross multiply
    313,947.80x = 470,921.70 × 207,659.60
  4. Step 4: Simplify right side
    313,947.80x = 97,791,411,853.32
  5. Step 5: Solve for x
    x = 97,791,411,853.32/313,947.80
  6. Step 6: Final answer
    x = 311,489.40

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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.