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Finding the Fourth Proportional to 313,421.40, 470,391.30 and 145,200.60

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Solution

The fourth proportional to 313,421.40, 470,391.30 and 145,200.60 is: 217,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,421.40 : 470,391.30 = 145,200.60 : x
  2. Step 2: Convert to fraction form
    313,421.40/470,391.30 = 145,200.60/x
  3. Step 3: Cross multiply
    313,421.40x = 470,391.30 × 145,200.60
  4. Step 4: Simplify right side
    313,421.40x = 68,301,098,994.78
  5. Step 5: Solve for x
    x = 68,301,098,994.78/313,421.40
  6. Step 6: Final answer
    x = 217,920.98

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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.