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Finding the Fourth Proportional to 419,035.90, 577,867.50 and 281,525.50

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Solution

The fourth proportional to 419,035.90, 577,867.50 and 281,525.50 is: 388,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,035.90 : 577,867.50 = 281,525.50 : x
  2. Step 2: Convert to fraction form
    419,035.90/577,867.50 = 281,525.50/x
  3. Step 3: Cross multiply
    419,035.90x = 577,867.50 × 281,525.50
  4. Step 4: Simplify right side
    419,035.90x = 162,684,436,871.25
  5. Step 5: Solve for x
    x = 162,684,436,871.25/419,035.90
  6. Step 6: Final answer
    x = 388,235.08

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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.