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Finding the Fourth Proportional to 418,907.90, 578,075.64 and 227,922.05

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Solution

The fourth proportional to 418,907.90, 578,075.64 and 227,922.05 is: 314,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,907.90 : 578,075.64 = 227,922.05 : x
  2. Step 2: Convert to fraction form
    418,907.90/578,075.64 = 227,922.05/x
  3. Step 3: Cross multiply
    418,907.90x = 578,075.64 × 227,922.05
  4. Step 4: Simplify right side
    418,907.90x = 131,756,185,514.34
  5. Step 5: Solve for x
    x = 131,756,185,514.34/418,907.90
  6. Step 6: Final answer
    x = 314,523.04

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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.