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Finding the Fourth Proportional to 419,153.81, 578,432.33 and 228,168.64

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Solution

The fourth proportional to 419,153.81, 578,432.33 and 228,168.64 is: 314,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,153.81 : 578,432.33 = 228,168.64 : x
  2. Step 2: Convert to fraction form
    419,153.81/578,432.33 = 228,168.64/x
  3. Step 3: Cross multiply
    419,153.81x = 578,432.33 × 228,168.64
  4. Step 4: Simplify right side
    419,153.81x = 131,980,117,192.47
  5. Step 5: Solve for x
    x = 131,980,117,192.47/419,153.81
  6. Step 6: Final answer
    x = 314,872.76

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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.