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Finding the Fourth Proportional to 368,966.96, 509,212.68 and 225,822.32

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Solution

The fourth proportional to 368,966.96, 509,212.68 and 225,822.32 is: 311,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,966.96 : 509,212.68 = 225,822.32 : x
  2. Step 2: Convert to fraction form
    368,966.96/509,212.68 = 225,822.32/x
  3. Step 3: Cross multiply
    368,966.96x = 509,212.68 × 225,822.32
  4. Step 4: Simplify right side
    368,966.96x = 114,991,588,771.02
  5. Step 5: Solve for x
    x = 114,991,588,771.02/368,966.96
  6. Step 6: Final answer
    x = 311,658.23

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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.