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Finding the Fourth Proportional to 470,507.60, 703,817.40 and 428,983.76

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Solution

The fourth proportional to 470,507.60, 703,817.40 and 428,983.76 is: 641,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,507.60 : 703,817.40 = 428,983.76 : x
  2. Step 2: Convert to fraction form
    470,507.60/703,817.40 = 428,983.76/x
  3. Step 3: Cross multiply
    470,507.60x = 703,817.40 × 428,983.76
  4. Step 4: Simplify right side
    470,507.60x = 301,926,234,605.42
  5. Step 5: Solve for x
    x = 301,926,234,605.42/470,507.60
  6. Step 6: Final answer
    x = 641,703.20

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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.