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Finding the Fourth Proportional to 470,179.17, 648,950.58 and 309,049.20

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Solution

The fourth proportional to 470,179.17, 648,950.58 and 309,049.20 is: 426,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,179.17 : 648,950.58 = 309,049.20 : x
  2. Step 2: Convert to fraction form
    470,179.17/648,950.58 = 309,049.20/x
  3. Step 3: Cross multiply
    470,179.17x = 648,950.58 × 309,049.20
  4. Step 4: Simplify right side
    470,179.17x = 200,557,657,588.54
  5. Step 5: Solve for x
    x = 200,557,657,588.54/470,179.17
  6. Step 6: Final answer
    x = 426,555.81

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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.