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Finding the Fourth Proportional to 313,909.20, 470,863.80 and 288,104.40

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Solution

The fourth proportional to 313,909.20, 470,863.80 and 288,104.40 is: 432,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909.20 : 470,863.80 = 288,104.40 : x
  2. Step 2: Convert to fraction form
    313,909.20/470,863.80 = 288,104.40/x
  3. Step 3: Cross multiply
    313,909.20x = 470,863.80 × 288,104.40
  4. Step 4: Simplify right side
    313,909.20x = 135,657,932,580.72
  5. Step 5: Solve for x
    x = 135,657,932,580.72/313,909.20
  6. Step 6: Final answer
    x = 432,156.60

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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.