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Finding the Fourth Proportional to 470,861.60, 706,681.20 and 218,530.40

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Solution

The fourth proportional to 470,861.60, 706,681.20 and 218,530.40 is: 327,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,861.60 : 706,681.20 = 218,530.40 : x
  2. Step 2: Convert to fraction form
    470,861.60/706,681.20 = 218,530.40/x
  3. Step 3: Cross multiply
    470,861.60x = 706,681.20 × 218,530.40
  4. Step 4: Simplify right side
    470,861.60x = 154,431,325,308.48
  5. Step 5: Solve for x
    x = 154,431,325,308.48/470,861.60
  6. Step 6: Final answer
    x = 327,976.04

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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.