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Finding the Fourth Proportional to 419,242.64, 578,537.44 and 228,256.18

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Solution

The fourth proportional to 419,242.64, 578,537.44 and 228,256.18 is: 314,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,242.64 : 578,537.44 = 228,256.18 : x
  2. Step 2: Convert to fraction form
    419,242.64/578,537.44 = 228,256.18/x
  3. Step 3: Cross multiply
    419,242.64x = 578,537.44 × 228,256.18
  4. Step 4: Simplify right side
    419,242.64x = 132,054,744,024.40
  5. Step 5: Solve for x
    x = 132,054,744,024.40/419,242.64
  6. Step 6: Final answer
    x = 314,984.05

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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.