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Finding the Fourth Proportional to 492,814.52, 680,056.12 and 277,941.77

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Solution

The fourth proportional to 492,814.52, 680,056.12 and 277,941.77 is: 383,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,814.52 : 680,056.12 = 277,941.77 : x
  2. Step 2: Convert to fraction form
    492,814.52/680,056.12 = 277,941.77/x
  3. Step 3: Cross multiply
    492,814.52x = 680,056.12 × 277,941.77
  4. Step 4: Simplify right side
    492,814.52x = 189,016,001,692.13
  5. Step 5: Solve for x
    x = 189,016,001,692.13/492,814.52
  6. Step 6: Final answer
    x = 383,543.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.