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Finding the Fourth Proportional to 455,821.70, 684,348.15 and 266,476.10

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Solution

The fourth proportional to 455,821.70, 684,348.15 and 266,476.10 is: 400,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,821.70 : 684,348.15 = 266,476.10 : x
  2. Step 2: Convert to fraction form
    455,821.70/684,348.15 = 266,476.10/x
  3. Step 3: Cross multiply
    455,821.70x = 684,348.15 × 266,476.10
  4. Step 4: Simplify right side
    455,821.70x = 182,362,426,054.22
  5. Step 5: Solve for x
    x = 182,362,426,054.22/455,821.70
  6. Step 6: Final answer
    x = 400,074.03

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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.