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Finding the Fourth Proportional to 491,969.04, 678,921.03 and 277,089

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Solution

The fourth proportional to 491,969.04, 678,921.03 and 277,089 is: 382,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,969.04 : 678,921.03 = 277,089 : x
  2. Step 2: Convert to fraction form
    491,969.04/678,921.03 = 277,089/x
  3. Step 3: Cross multiply
    491,969.04x = 678,921.03 × 277,089
  4. Step 4: Simplify right side
    491,969.04x = 188,121,549,281.67
  5. Step 5: Solve for x
    x = 188,121,549,281.67/491,969.04
  6. Step 6: Final answer
    x = 382,384.93

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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.