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Finding the Fourth Proportional to 313,645.50, 470,468.61 and 85,943.04

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Solution

The fourth proportional to 313,645.50, 470,468.61 and 85,943.04 is: 128,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,645.50 : 470,468.61 = 85,943.04 : x
  2. Step 2: Convert to fraction form
    313,645.50/470,468.61 = 85,943.04/x
  3. Step 3: Cross multiply
    313,645.50x = 470,468.61 × 85,943.04
  4. Step 4: Simplify right side
    313,645.50x = 40,433,502,567.97
  5. Step 5: Solve for x
    x = 40,433,502,567.97/313,645.50
  6. Step 6: Final answer
    x = 128,914.66

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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.