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Finding the Fourth Proportional to 419,030.89, 577,860.62 and 281,520.50

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Solution

The fourth proportional to 419,030.89, 577,860.62 and 281,520.50 is: 388,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,030.89 : 577,860.62 = 281,520.50 : x
  2. Step 2: Convert to fraction form
    419,030.89/577,860.62 = 281,520.50/x
  3. Step 3: Cross multiply
    419,030.89x = 577,860.62 × 281,520.50
  4. Step 4: Simplify right side
    419,030.89x = 162,679,606,375.80
  5. Step 5: Solve for x
    x = 162,679,606,375.80/419,030.89
  6. Step 6: Final answer
    x = 388,228.20

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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.