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Finding the Fourth Proportional to 400,780.52, 553,451.80 and 257,788.80

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Solution

The fourth proportional to 400,780.52, 553,451.80 and 257,788.80 is: 355,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,780.52 : 553,451.80 = 257,788.80 : x
  2. Step 2: Convert to fraction form
    400,780.52/553,451.80 = 257,788.80/x
  3. Step 3: Cross multiply
    400,780.52x = 553,451.80 × 257,788.80
  4. Step 4: Simplify right side
    400,780.52x = 142,673,675,379.84
  5. Step 5: Solve for x
    x = 142,673,675,379.84/400,780.52
  6. Step 6: Final answer
    x = 355,989.55

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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.