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Finding the Fourth Proportional to 496,026.86, 684,486.40 and 278,223.56

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Solution

The fourth proportional to 496,026.86, 684,486.40 and 278,223.56 is: 383,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,026.86 : 684,486.40 = 278,223.56 : x
  2. Step 2: Convert to fraction form
    496,026.86/684,486.40 = 278,223.56/x
  3. Step 3: Cross multiply
    496,026.86x = 684,486.40 × 278,223.56
  4. Step 4: Simplify right side
    496,026.86x = 190,440,242,979.58
  5. Step 5: Solve for x
    x = 190,440,242,979.58/496,026.86
  6. Step 6: Final answer
    x = 383,931.31

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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.