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Finding the Fourth Proportional to 384,733.80, 576,063.90 and 278,980.20

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Solution

The fourth proportional to 384,733.80, 576,063.90 and 278,980.20 is: 417,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,733.80 : 576,063.90 = 278,980.20 : x
  2. Step 2: Convert to fraction form
    384,733.80/576,063.90 = 278,980.20/x
  3. Step 3: Cross multiply
    384,733.80x = 576,063.90 × 278,980.20
  4. Step 4: Simplify right side
    384,733.80x = 160,710,422,034.78
  5. Step 5: Solve for x
    x = 160,710,422,034.78/384,733.80
  6. Step 6: Final answer
    x = 417,718.49

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1.5x scale

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.