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Finding the Fourth Proportional to 642,309.48, 886,393.26 and 355,835.64

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Solution

The fourth proportional to 642,309.48, 886,393.26 and 355,835.64 is: 491,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,309.48 : 886,393.26 = 355,835.64 : x
  2. Step 2: Convert to fraction form
    642,309.48/886,393.26 = 355,835.64/x
  3. Step 3: Cross multiply
    642,309.48x = 886,393.26 × 355,835.64
  4. Step 4: Simplify right side
    642,309.48x = 315,410,312,963.79
  5. Step 5: Solve for x
    x = 315,410,312,963.79/642,309.48
  6. Step 6: Final answer
    x = 491,056.61

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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.