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Finding the Fourth Proportional to 813,146, 1,122,141.48 and 495,194

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Solution

The fourth proportional to 813,146, 1,122,141.48 and 495,194 is: 683,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,146 : 1,122,141.48 = 495,194 : x
  2. Step 2: Convert to fraction form
    813,146/1,122,141.48 = 495,194/x
  3. Step 3: Cross multiply
    813,146x = 1,122,141.48 × 495,194
  4. Step 4: Simplify right side
    813,146x = 555,677,728,047.12
  5. Step 5: Solve for x
    x = 555,677,728,047.12/813,146
  6. Step 6: Final answer
    x = 683,367.72

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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.