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Finding the Fourth Proportional to 216,468.21, 324,347.35 and 152,978.23

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Solution

The fourth proportional to 216,468.21, 324,347.35 and 152,978.23 is: 229,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,468.21 : 324,347.35 = 152,978.23 : x
  2. Step 2: Convert to fraction form
    216,468.21/324,347.35 = 152,978.23/x
  3. Step 3: Cross multiply
    216,468.21x = 324,347.35 × 152,978.23
  4. Step 4: Simplify right side
    216,468.21x = 49,618,082,743.30
  5. Step 5: Solve for x
    x = 49,618,082,743.30/216,468.21
  6. Step 6: Final answer
    x = 229,216.49

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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.