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Finding the Fourth Proportional to 228,826.77, 342,852.64 and 138,596.84

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Solution

The fourth proportional to 228,826.77, 342,852.64 and 138,596.84 is: 207,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,826.77 : 342,852.64 = 138,596.84 : x
  2. Step 2: Convert to fraction form
    228,826.77/342,852.64 = 138,596.84/x
  3. Step 3: Cross multiply
    228,826.77x = 342,852.64 × 138,596.84
  4. Step 4: Simplify right side
    228,826.77x = 47,518,293,693.28
  5. Step 5: Solve for x
    x = 47,518,293,693.28/228,826.77
  6. Step 6: Final answer
    x = 207,660.55

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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.