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Finding the Fourth Proportional to 493,033.34, 680,372.16 and 278,193.40

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Solution

The fourth proportional to 493,033.34, 680,372.16 and 278,193.40 is: 383,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,033.34 : 680,372.16 = 278,193.40 : x
  2. Step 2: Convert to fraction form
    493,033.34/680,372.16 = 278,193.40/x
  3. Step 3: Cross multiply
    493,033.34x = 680,372.16 × 278,193.40
  4. Step 4: Simplify right side
    493,033.34x = 189,275,044,455.74
  5. Step 5: Solve for x
    x = 189,275,044,455.74/493,033.34
  6. Step 6: Final answer
    x = 383,899.08

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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.