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Finding the Fourth Proportional to 649,927.98, 896,883.80 and 359,532

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Solution

The fourth proportional to 649,927.98, 896,883.80 and 359,532 is: 496,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,927.98 : 896,883.80 = 359,532 : x
  2. Step 2: Convert to fraction form
    649,927.98/896,883.80 = 359,532/x
  3. Step 3: Cross multiply
    649,927.98x = 896,883.80 × 359,532
  4. Step 4: Simplify right side
    649,927.98x = 322,458,424,583.94
  5. Step 5: Solve for x
    x = 322,458,424,583.94/649,927.98
  6. Step 6: Final answer
    x = 496,144.86

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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.