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Finding the Fourth Proportional to 526,700.70, 726,841.80 and 284,977.98

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Solution

The fourth proportional to 526,700.70, 726,841.80 and 284,977.98 is: 393,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,700.70 : 726,841.80 = 284,977.98 : x
  2. Step 2: Convert to fraction form
    526,700.70/726,841.80 = 284,977.98/x
  3. Step 3: Cross multiply
    526,700.70x = 726,841.80 × 284,977.98
  4. Step 4: Simplify right side
    526,700.70x = 207,133,907,943.56
  5. Step 5: Solve for x
    x = 207,133,907,943.56/526,700.70
  6. Step 6: Final answer
    x = 393,266.82

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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.