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Finding the Fourth Proportional to 394,886.32, 592,328.92 and 128,646.40

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Solution

The fourth proportional to 394,886.32, 592,328.92 and 128,646.40 is: 192,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,886.32 : 592,328.92 = 128,646.40 : x
  2. Step 2: Convert to fraction form
    394,886.32/592,328.92 = 128,646.40/x
  3. Step 3: Cross multiply
    394,886.32x = 592,328.92 × 128,646.40
  4. Step 4: Simplify right side
    394,886.32x = 76,200,983,173.89
  5. Step 5: Solve for x
    x = 76,200,983,173.89/394,886.32
  6. Step 6: Final answer
    x = 192,969.42

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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.