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Finding the Fourth Proportional to 470,813.40, 705,605.70 and 218,064.60

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Solution

The fourth proportional to 470,813.40, 705,605.70 and 218,064.60 is: 326,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,813.40 : 705,605.70 = 218,064.60 : x
  2. Step 2: Convert to fraction form
    470,813.40/705,605.70 = 218,064.60/x
  3. Step 3: Cross multiply
    470,813.40x = 705,605.70 × 218,064.60
  4. Step 4: Simplify right side
    470,813.40x = 153,867,624,728.22
  5. Step 5: Solve for x
    x = 153,867,624,728.22/470,813.40
  6. Step 6: Final answer
    x = 326,812.33

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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.