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Finding the Fourth Proportional to 455,817.40, 683,661.30 and 156,311.80

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Solution

The fourth proportional to 455,817.40, 683,661.30 and 156,311.80 is: 234,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,817.40 : 683,661.30 = 156,311.80 : x
  2. Step 2: Convert to fraction form
    455,817.40/683,661.30 = 156,311.80/x
  3. Step 3: Cross multiply
    455,817.40x = 683,661.30 × 156,311.80
  4. Step 4: Simplify right side
    455,817.40x = 106,864,328,393.34
  5. Step 5: Solve for x
    x = 106,864,328,393.34/455,817.40
  6. Step 6: Final answer
    x = 234,445.48

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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.