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Finding the Fourth Proportional to 491,303.20, 678,264.54 and 344,578.65

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Solution

The fourth proportional to 491,303.20, 678,264.54 and 344,578.65 is: 475,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,303.20 : 678,264.54 = 344,578.65 : x
  2. Step 2: Convert to fraction form
    491,303.20/678,264.54 = 344,578.65/x
  3. Step 3: Cross multiply
    491,303.20x = 678,264.54 × 344,578.65
  4. Step 4: Simplify right side
    491,303.20x = 233,715,482,079.56
  5. Step 5: Solve for x
    x = 233,715,482,079.56/491,303.20
  6. Step 6: Final answer
    x = 475,705.19

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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.