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Finding the Fourth Proportional to 384,633.90, 576,950.85 and 278,345.70

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Solution

The fourth proportional to 384,633.90, 576,950.85 and 278,345.70 is: 417,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,633.90 : 576,950.85 = 278,345.70 : x
  2. Step 2: Convert to fraction form
    384,633.90/576,950.85 = 278,345.70/x
  3. Step 3: Cross multiply
    384,633.90x = 576,950.85 × 278,345.70
  4. Step 4: Simplify right side
    384,633.90x = 160,591,788,208.85
  5. Step 5: Solve for x
    x = 160,591,788,208.85/384,633.90
  6. Step 6: Final answer
    x = 417,518.55

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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.