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Finding the Fourth Proportional to 418,886.64, 578,075.40 and 227,912.40

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Solution

The fourth proportional to 418,886.64, 578,075.40 and 227,912.40 is: 314,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,886.64 : 578,075.40 = 227,912.40 : x
  2. Step 2: Convert to fraction form
    418,886.64/578,075.40 = 227,912.40/x
  3. Step 3: Cross multiply
    418,886.64x = 578,075.40 × 227,912.40
  4. Step 4: Simplify right side
    418,886.64x = 131,750,551,794.96
  5. Step 5: Solve for x
    x = 131,750,551,794.96/418,886.64
  6. Step 6: Final answer
    x = 314,525.55

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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.