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Finding the Fourth Proportional to 491,436.60, 678,391.75 and 330,385.07

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Solution

The fourth proportional to 491,436.60, 678,391.75 and 330,385.07 is: 456,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,436.60 : 678,391.75 = 330,385.07 : x
  2. Step 2: Convert to fraction form
    491,436.60/678,391.75 = 330,385.07/x
  3. Step 3: Cross multiply
    491,436.60x = 678,391.75 × 330,385.07
  4. Step 4: Simplify right side
    491,436.60x = 224,130,502,832.20
  5. Step 5: Solve for x
    x = 224,130,502,832.20/491,436.60
  6. Step 6: Final answer
    x = 456,072.06

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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.