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Finding the Fourth Proportional to 313,657.40, 470,504.12 and 89,000.28

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Solution

The fourth proportional to 313,657.40, 470,504.12 and 89,000.28 is: 133,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,657.40 : 470,504.12 = 89,000.28 : x
  2. Step 2: Convert to fraction form
    313,657.40/470,504.12 = 89,000.28/x
  3. Step 3: Cross multiply
    313,657.40x = 470,504.12 × 89,000.28
  4. Step 4: Simplify right side
    313,657.40x = 41,874,998,421.15
  5. Step 5: Solve for x
    x = 41,874,998,421.15/313,657.40
  6. Step 6: Final answer
    x = 133,505.53

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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.