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Finding the Fourth Proportional to 419,038.88, 577,871.64 and 281,528.48

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Solution

The fourth proportional to 419,038.88, 577,871.64 and 281,528.48 is: 388,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,038.88 : 577,871.64 = 281,528.48 : x
  2. Step 2: Convert to fraction form
    419,038.88/577,871.64 = 281,528.48/x
  3. Step 3: Cross multiply
    419,038.88x = 577,871.64 × 281,528.48
  4. Step 4: Simplify right side
    419,038.88x = 162,687,324,444.31
  5. Step 5: Solve for x
    x = 162,687,324,444.31/419,038.88
  6. Step 6: Final answer
    x = 388,239.21

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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.