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Finding the Fourth Proportional to 455,828.70, 684,358.65 and 266,483.10

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Solution

The fourth proportional to 455,828.70, 684,358.65 and 266,483.10 is: 400,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,828.70 : 684,358.65 = 266,483.10 : x
  2. Step 2: Convert to fraction form
    455,828.70/684,358.65 = 266,483.10/x
  3. Step 3: Cross multiply
    455,828.70x = 684,358.65 × 266,483.10
  4. Step 4: Simplify right side
    455,828.70x = 182,370,014,563.82
  5. Step 5: Solve for x
    x = 182,370,014,563.82/455,828.70
  6. Step 6: Final answer
    x = 400,084.54

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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.