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Finding the Fourth Proportional to 470,914, 706,295.16 and 129,277.68

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Solution

The fourth proportional to 470,914, 706,295.16 and 129,277.68 is: 193,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,914 : 706,295.16 = 129,277.68 : x
  2. Step 2: Convert to fraction form
    470,914/706,295.16 = 129,277.68/x
  3. Step 3: Cross multiply
    470,914x = 706,295.16 × 129,277.68
  4. Step 4: Simplify right side
    470,914x = 91,308,199,680.03
  5. Step 5: Solve for x
    x = 91,308,199,680.03/470,914
  6. Step 6: Final answer
    x = 193,895.70

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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.