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Finding the Fourth Proportional to 501,235.92, 691,641.78 and 286,389.90

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Solution

The fourth proportional to 501,235.92, 691,641.78 and 286,389.90 is: 395,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,235.92 : 691,641.78 = 286,389.90 : x
  2. Step 2: Convert to fraction form
    501,235.92/691,641.78 = 286,389.90/x
  3. Step 3: Cross multiply
    501,235.92x = 691,641.78 × 286,389.90
  4. Step 4: Simplify right side
    501,235.92x = 198,079,220,210.02
  5. Step 5: Solve for x
    x = 198,079,220,210.02/501,235.92
  6. Step 6: Final answer
    x = 395,181.61

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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.