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Finding the Fourth Proportional to 491,904.14, 678,709.02 and 277,044.15

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Solution

The fourth proportional to 491,904.14, 678,709.02 and 277,044.15 is: 382,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,904.14 : 678,709.02 = 277,044.15 : x
  2. Step 2: Convert to fraction form
    491,904.14/678,709.02 = 277,044.15/x
  3. Step 3: Cross multiply
    491,904.14x = 678,709.02 × 277,044.15
  4. Step 4: Simplify right side
    491,904.14x = 188,032,363,309.57
  5. Step 5: Solve for x
    x = 188,032,363,309.57/491,904.14
  6. Step 6: Final answer
    x = 382,254.08

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1.5x scale

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.