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Finding the Fourth Proportional to 279,558.70, 419,666.10 and 277,590.40

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Solution

The fourth proportional to 279,558.70, 419,666.10 and 277,590.40 is: 416,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,558.70 : 419,666.10 = 277,590.40 : x
  2. Step 2: Convert to fraction form
    279,558.70/419,666.10 = 277,590.40/x
  3. Step 3: Cross multiply
    279,558.70x = 419,666.10 × 277,590.40
  4. Step 4: Simplify right side
    279,558.70x = 116,495,280,565.44
  5. Step 5: Solve for x
    x = 116,495,280,565.44/279,558.70
  6. Step 6: Final answer
    x = 416,711.34

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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.