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Finding the Fourth Proportional to 470,227.77, 649,112.85 and 317,472.77

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Solution

The fourth proportional to 470,227.77, 649,112.85 and 317,472.77 is: 438,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,227.77 : 649,112.85 = 317,472.77 : x
  2. Step 2: Convert to fraction form
    470,227.77/649,112.85 = 317,472.77/x
  3. Step 3: Cross multiply
    470,227.77x = 649,112.85 × 317,472.77
  4. Step 4: Simplify right side
    470,227.77x = 206,075,651,286.53
  5. Step 5: Solve for x
    x = 206,075,651,286.53/470,227.77
  6. Step 6: Final answer
    x = 438,246.45

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1.5x scale

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.