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Finding the Fourth Proportional to 470,180.67, 648,952.65 and 309,050.70

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Solution

The fourth proportional to 470,180.67, 648,952.65 and 309,050.70 is: 426,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,180.67 : 648,952.65 = 309,050.70 : x
  2. Step 2: Convert to fraction form
    470,180.67/648,952.65 = 309,050.70/x
  3. Step 3: Cross multiply
    470,180.67x = 648,952.65 × 309,050.70
  4. Step 4: Simplify right side
    470,180.67x = 200,559,270,749.36
  5. Step 5: Solve for x
    x = 200,559,270,749.36/470,180.67
  6. Step 6: Final answer
    x = 426,557.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.