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Finding the Fourth Proportional to 455,820.70, 684,346.65 and 266,475.10

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Solution

The fourth proportional to 455,820.70, 684,346.65 and 266,475.10 is: 400,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,820.70 : 684,346.65 = 266,475.10 : x
  2. Step 2: Convert to fraction form
    455,820.70/684,346.65 = 266,475.10/x
  3. Step 3: Cross multiply
    455,820.70x = 684,346.65 × 266,475.10
  4. Step 4: Simplify right side
    455,820.70x = 182,361,341,993.42
  5. Step 5: Solve for x
    x = 182,361,341,993.42/455,820.70
  6. Step 6: Final answer
    x = 400,072.53

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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.