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Finding the Fourth Proportional to 470,454.21, 649,083.78 and 266,472.72

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Solution

The fourth proportional to 470,454.21, 649,083.78 and 266,472.72 is: 367,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,454.21 : 649,083.78 = 266,472.72 : x
  2. Step 2: Convert to fraction form
    470,454.21/649,083.78 = 266,472.72/x
  3. Step 3: Cross multiply
    470,454.21x = 649,083.78 × 266,472.72
  4. Step 4: Simplify right side
    470,454.21x = 172,963,120,364.48
  5. Step 5: Solve for x
    x = 172,963,120,364.48/470,454.21
  6. Step 6: Final answer
    x = 367,651.34

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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.