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Finding the Fourth Proportional to 790,218, 1,090,500.78 and 427,641.86

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Solution

The fourth proportional to 790,218, 1,090,500.78 and 427,641.86 is: 590,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,218 : 1,090,500.78 = 427,641.86 : x
  2. Step 2: Convert to fraction form
    790,218/1,090,500.78 = 427,641.86/x
  3. Step 3: Cross multiply
    790,218x = 1,090,500.78 × 427,641.86
  4. Step 4: Simplify right side
    790,218x = 466,343,781,890.65
  5. Step 5: Solve for x
    x = 466,343,781,890.65/790,218
  6. Step 6: Final answer
    x = 590,145.73

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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.