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Finding the Fourth Proportional to 455,812.70, 684,334.65 and 266,467.10

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Solution

The fourth proportional to 455,812.70, 684,334.65 and 266,467.10 is: 400,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,812.70 : 684,334.65 = 266,467.10 : x
  2. Step 2: Convert to fraction form
    455,812.70/684,334.65 = 266,467.10/x
  3. Step 3: Cross multiply
    455,812.70x = 684,334.65 × 266,467.10
  4. Step 4: Simplify right side
    455,812.70x = 182,352,669,615.02
  5. Step 5: Solve for x
    x = 182,352,669,615.02/455,812.70
  6. Step 6: Final answer
    x = 400,060.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.