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Finding the Fourth Proportional to 470,178.66, 648,949.89 and 309,048.70

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Solution

The fourth proportional to 470,178.66, 648,949.89 and 309,048.70 is: 426,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,178.66 : 648,949.89 = 309,048.70 : x
  2. Step 2: Convert to fraction form
    470,178.66/648,949.89 = 309,048.70/x
  3. Step 3: Cross multiply
    470,178.66x = 648,949.89 × 309,048.70
  4. Step 4: Simplify right side
    470,178.66x = 200,557,119,869.64
  5. Step 5: Solve for x
    x = 200,557,119,869.64/470,178.66
  6. Step 6: Final answer
    x = 426,555.13

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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.