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Finding the Fourth Proportional to 341,480.40, 511,054.20 and 313,486.80

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Solution

The fourth proportional to 341,480.40, 511,054.20 and 313,486.80 is: 469,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,480.40 : 511,054.20 = 313,486.80 : x
  2. Step 2: Convert to fraction form
    341,480.40/511,054.20 = 313,486.80/x
  3. Step 3: Cross multiply
    341,480.40x = 511,054.20 × 313,486.80
  4. Step 4: Simplify right side
    341,480.40x = 160,208,745,784.56
  5. Step 5: Solve for x
    x = 160,208,745,784.56/341,480.40
  6. Step 6: Final answer
    x = 469,159.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.