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Finding the Fourth Proportional to 216,296.86, 324,445.20 and 157,506.64

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Solution

The fourth proportional to 216,296.86, 324,445.20 and 157,506.64 is: 236,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,296.86 : 324,445.20 = 157,506.64 : x
  2. Step 2: Convert to fraction form
    216,296.86/324,445.20 = 157,506.64/x
  3. Step 3: Cross multiply
    216,296.86x = 324,445.20 × 157,506.64
  4. Step 4: Simplify right side
    216,296.86x = 51,102,273,316.13
  5. Step 5: Solve for x
    x = 51,102,273,316.13/216,296.86
  6. Step 6: Final answer
    x = 236,259.89

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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.