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Finding the Fourth Proportional to 395,742, 546,158.52 and 216,928.56

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Solution

The fourth proportional to 395,742, 546,158.52 and 216,928.56 is: 299,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,742 : 546,158.52 = 216,928.56 : x
  2. Step 2: Convert to fraction form
    395,742/546,158.52 = 216,928.56/x
  3. Step 3: Cross multiply
    395,742x = 546,158.52 × 216,928.56
  4. Step 4: Simplify right side
    395,742x = 118,477,381,275.33
  5. Step 5: Solve for x
    x = 118,477,381,275.33/395,742
  6. Step 6: Final answer
    x = 299,380.36

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1.5x scale

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.