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Finding the Fourth Proportional to 519,211.60, 778,279.80 and 282,053.20

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Solution

The fourth proportional to 519,211.60, 778,279.80 and 282,053.20 is: 422,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,211.60 : 778,279.80 = 282,053.20 : x
  2. Step 2: Convert to fraction form
    519,211.60/778,279.80 = 282,053.20/x
  3. Step 3: Cross multiply
    519,211.60x = 778,279.80 × 282,053.20
  4. Step 4: Simplify right side
    519,211.60x = 219,516,308,085.36
  5. Step 5: Solve for x
    x = 219,516,308,085.36/519,211.60
  6. Step 6: Final answer
    x = 422,787.76

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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.