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Finding the Fourth Proportional to 668,893.86, 1,003,494.02 and 289,878.21

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Solution

The fourth proportional to 668,893.86, 1,003,494.02 and 289,878.21 is: 434,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,893.86 : 1,003,494.02 = 289,878.21 : x
  2. Step 2: Convert to fraction form
    668,893.86/1,003,494.02 = 289,878.21/x
  3. Step 3: Cross multiply
    668,893.86x = 1,003,494.02 × 289,878.21
  4. Step 4: Simplify right side
    668,893.86x = 290,891,048,813.91
  5. Step 5: Solve for x
    x = 290,891,048,813.91/668,893.86
  6. Step 6: Final answer
    x = 434,883.72

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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.