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Finding the Fourth Proportional to 408,870.63, 564,241.50 and 227,578.66

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Solution

The fourth proportional to 408,870.63, 564,241.50 and 227,578.66 is: 314,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,870.63 : 564,241.50 = 227,578.66 : x
  2. Step 2: Convert to fraction form
    408,870.63/564,241.50 = 227,578.66/x
  3. Step 3: Cross multiply
    408,870.63x = 564,241.50 × 227,578.66
  4. Step 4: Simplify right side
    408,870.63x = 128,409,323,075.79
  5. Step 5: Solve for x
    x = 128,409,323,075.79/408,870.63
  6. Step 6: Final answer
    x = 314,058.56

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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.