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Finding the Fourth Proportional to 418,893.66, 578,075.67 and 227,908.35

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Solution

The fourth proportional to 418,893.66, 578,075.67 and 227,908.35 is: 314,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,893.66 : 578,075.67 = 227,908.35 : x
  2. Step 2: Convert to fraction form
    418,893.66/578,075.67 = 227,908.35/x
  3. Step 3: Cross multiply
    418,893.66x = 578,075.67 × 227,908.35
  4. Step 4: Simplify right side
    418,893.66x = 131,748,272,124.85
  5. Step 5: Solve for x
    x = 131,748,272,124.85/418,893.66
  6. Step 6: Final answer
    x = 314,514.84

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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.