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Finding the Fourth Proportional to 813,529, 1,122,670.34 and 495,577

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Solution

The fourth proportional to 813,529, 1,122,670.34 and 495,577 is: 683,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,529 : 1,122,670.34 = 495,577 : x
  2. Step 2: Convert to fraction form
    813,529/1,122,670.34 = 495,577/x
  3. Step 3: Cross multiply
    813,529x = 1,122,670.34 × 495,577
  4. Step 4: Simplify right side
    813,529x = 556,369,599,086.18
  5. Step 5: Solve for x
    x = 556,369,599,086.18/813,529
  6. Step 6: Final answer
    x = 683,896.45

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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.