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Finding the Fourth Proportional to 313,630.80, 470,446.20 and 76,970.40

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Solution

The fourth proportional to 313,630.80, 470,446.20 and 76,970.40 is: 115,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,630.80 : 470,446.20 = 76,970.40 : x
  2. Step 2: Convert to fraction form
    313,630.80/470,446.20 = 76,970.40/x
  3. Step 3: Cross multiply
    313,630.80x = 470,446.20 × 76,970.40
  4. Step 4: Simplify right side
    313,630.80x = 36,210,432,192.48
  5. Step 5: Solve for x
    x = 36,210,432,192.48/313,630.80
  6. Step 6: Final answer
    x = 115,455.60

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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.