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Finding the Fourth Proportional to 470,968.62, 706,400.40 and 129,438.22

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Solution

The fourth proportional to 470,968.62, 706,400.40 and 129,438.22 is: 194,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,968.62 : 706,400.40 = 129,438.22 : x
  2. Step 2: Convert to fraction form
    470,968.62/706,400.40 = 129,438.22/x
  3. Step 3: Cross multiply
    470,968.62x = 706,400.40 × 129,438.22
  4. Step 4: Simplify right side
    470,968.62x = 91,435,210,383.29
  5. Step 5: Solve for x
    x = 91,435,210,383.29/470,968.62
  6. Step 6: Final answer
    x = 194,142.89

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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.