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Finding the Fourth Proportional to 216,178.86, 324,394.65 and 156,148.14

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Solution

The fourth proportional to 216,178.86, 324,394.65 and 156,148.14 is: 234,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.86 : 324,394.65 = 156,148.14 : x
  2. Step 2: Convert to fraction form
    216,178.86/324,394.65 = 156,148.14/x
  3. Step 3: Cross multiply
    216,178.86x = 324,394.65 × 156,148.14
  4. Step 4: Simplify right side
    216,178.86x = 50,653,621,223.45
  5. Step 5: Solve for x
    x = 50,653,621,223.45/216,178.86
  6. Step 6: Final answer
    x = 234,313.48

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1.5x scale

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.