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Finding the Fourth Proportional to 419,243.90, 578,537.52 and 228,256.88

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Solution

The fourth proportional to 419,243.90, 578,537.52 and 228,256.88 is: 314,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,243.90 : 578,537.52 = 228,256.88 : x
  2. Step 2: Convert to fraction form
    419,243.90/578,537.52 = 228,256.88/x
  3. Step 3: Cross multiply
    419,243.90x = 578,537.52 × 228,256.88
  4. Step 4: Simplify right side
    419,243.90x = 132,055,169,278.14
  5. Step 5: Solve for x
    x = 132,055,169,278.14/419,243.90
  6. Step 6: Final answer
    x = 314,984.12

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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.