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Finding the Fourth Proportional to 313,434.16, 470,148 and 76,778.08

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Solution

The fourth proportional to 313,434.16, 470,148 and 76,778.08 is: 115,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,434.16 : 470,148 = 76,778.08 : x
  2. Step 2: Convert to fraction form
    313,434.16/470,148 = 76,778.08/x
  3. Step 3: Cross multiply
    313,434.16x = 470,148 × 76,778.08
  4. Step 4: Simplify right side
    313,434.16x = 36,097,060,755.84
  5. Step 5: Solve for x
    x = 36,097,060,755.84/313,434.16
  6. Step 6: Final answer
    x = 115,166.33

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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.