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Finding the Fourth Proportional to 470,922, 706,382.14 and 387,478.48

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Solution

The fourth proportional to 470,922, 706,382.14 and 387,478.48 is: 581,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,922 : 706,382.14 = 387,478.48 : x
  2. Step 2: Convert to fraction form
    470,922/706,382.14 = 387,478.48/x
  3. Step 3: Cross multiply
    470,922x = 706,382.14 × 387,478.48
  4. Step 4: Simplify right side
    470,922x = 273,707,877,906.35
  5. Step 5: Solve for x
    x = 273,707,877,906.35/470,922
  6. Step 6: Final answer
    x = 581,217.01

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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.