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Finding the Fourth Proportional to 419,230.84, 578,538.64 and 228,244.24

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Solution

The fourth proportional to 419,230.84, 578,538.64 and 228,244.24 is: 314,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,230.84 : 578,538.64 = 228,244.24 : x
  2. Step 2: Convert to fraction form
    419,230.84/578,538.64 = 228,244.24/x
  3. Step 3: Cross multiply
    419,230.84x = 578,538.64 × 228,244.24
  4. Step 4: Simplify right side
    419,230.84x = 132,048,112,197.43
  5. Step 5: Solve for x
    x = 132,048,112,197.43/419,230.84
  6. Step 6: Final answer
    x = 314,977.10

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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.