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Finding the Fourth Proportional to 470,117, 704,708.94 and 220,351.88

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Solution

The fourth proportional to 470,117, 704,708.94 and 220,351.88 is: 330,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,117 : 704,708.94 = 220,351.88 : x
  2. Step 2: Convert to fraction form
    470,117/704,708.94 = 220,351.88/x
  3. Step 3: Cross multiply
    470,117x = 704,708.94 × 220,351.88
  4. Step 4: Simplify right side
    470,117x = 155,283,939,781.81
  5. Step 5: Solve for x
    x = 155,283,939,781.81/470,117
  6. Step 6: Final answer
    x = 330,309.14

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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.