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Finding the Fourth Proportional to 854,169, 1,282,026.24 and 455,146.80

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Solution

The fourth proportional to 854,169, 1,282,026.24 and 455,146.80 is: 683,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,169 : 1,282,026.24 = 455,146.80 : x
  2. Step 2: Convert to fraction form
    854,169/1,282,026.24 = 455,146.80/x
  3. Step 3: Cross multiply
    854,169x = 1,282,026.24 × 455,146.80
  4. Step 4: Simplify right side
    854,169x = 583,510,140,652.03
  5. Step 5: Solve for x
    x = 583,510,140,652.03/854,169
  6. Step 6: Final answer
    x = 683,131.96

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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.