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Finding the Fourth Proportional to 813,144, 1,122,138.72 and 495,192

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Solution

The fourth proportional to 813,144, 1,122,138.72 and 495,192 is: 683,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,144 : 1,122,138.72 = 495,192 : x
  2. Step 2: Convert to fraction form
    813,144/1,122,138.72 = 495,192/x
  3. Step 3: Cross multiply
    813,144x = 1,122,138.72 × 495,192
  4. Step 4: Simplify right side
    813,144x = 555,674,117,034.24
  5. Step 5: Solve for x
    x = 555,674,117,034.24/813,144
  6. Step 6: Final answer
    x = 683,364.96

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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.