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Finding the Fourth Proportional to 313,421.70, 470,334.15 and 173,280.90

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Solution

The fourth proportional to 313,421.70, 470,334.15 and 173,280.90 is: 260,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,421.70 : 470,334.15 = 173,280.90 : x
  2. Step 2: Convert to fraction form
    313,421.70/470,334.15 = 173,280.90/x
  3. Step 3: Cross multiply
    313,421.70x = 470,334.15 × 173,280.90
  4. Step 4: Simplify right side
    313,421.70x = 81,499,924,812.74
  5. Step 5: Solve for x
    x = 81,499,924,812.74/313,421.70
  6. Step 6: Final answer
    x = 260,032.81

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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.