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Finding the Fourth Proportional to 419,176.60, 578,463.80 and 228,189.94

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Solution

The fourth proportional to 419,176.60, 578,463.80 and 228,189.94 is: 314,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,176.60 : 578,463.80 = 228,189.94 : x
  2. Step 2: Convert to fraction form
    419,176.60/578,463.80 = 228,189.94/x
  3. Step 3: Cross multiply
    419,176.60x = 578,463.80 × 228,189.94
  4. Step 4: Simplify right side
    419,176.60x = 131,999,617,227.06
  5. Step 5: Solve for x
    x = 131,999,617,227.06/419,176.60
  6. Step 6: Final answer
    x = 314,902.16

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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.