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Finding the Fourth Proportional to 470,512.70, 709,314.11 and 440,069.66

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Solution

The fourth proportional to 470,512.70, 709,314.11 and 440,069.66 is: 663,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,512.70 : 709,314.11 = 440,069.66 : x
  2. Step 2: Convert to fraction form
    470,512.70/709,314.11 = 440,069.66/x
  3. Step 3: Cross multiply
    470,512.70x = 709,314.11 × 440,069.66
  4. Step 4: Simplify right side
    470,512.70x = 312,147,620,259.57
  5. Step 5: Solve for x
    x = 312,147,620,259.57/470,512.70
  6. Step 6: Final answer
    x = 663,420.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.