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Finding the Fourth Proportional to 455,816.70, 684,340.65 and 266,471.10

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Solution

The fourth proportional to 455,816.70, 684,340.65 and 266,471.10 is: 400,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,816.70 : 684,340.65 = 266,471.10 : x
  2. Step 2: Convert to fraction form
    455,816.70/684,340.65 = 266,471.10/x
  3. Step 3: Cross multiply
    455,816.70x = 684,340.65 × 266,471.10
  4. Step 4: Simplify right side
    455,816.70x = 182,357,005,780.22
  5. Step 5: Solve for x
    x = 182,357,005,780.22/455,816.70
  6. Step 6: Final answer
    x = 400,066.53

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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.