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Finding the Fourth Proportional to 313,401.80, 470,409.90 and 155,808.20

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Solution

The fourth proportional to 313,401.80, 470,409.90 and 155,808.20 is: 233,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,401.80 : 470,409.90 = 155,808.20 : x
  2. Step 2: Convert to fraction form
    313,401.80/470,409.90 = 155,808.20/x
  3. Step 3: Cross multiply
    313,401.80x = 470,409.90 × 155,808.20
  4. Step 4: Simplify right side
    313,401.80x = 73,293,719,781.18
  5. Step 5: Solve for x
    x = 73,293,719,781.18/313,401.80
  6. Step 6: Final answer
    x = 233,865.02

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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.