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Finding the Fourth Proportional to 328,907.80, 493,442.70 and 92,247.40

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Solution

The fourth proportional to 328,907.80, 493,442.70 and 92,247.40 is: 138,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,907.80 : 493,442.70 = 92,247.40 : x
  2. Step 2: Convert to fraction form
    328,907.80/493,442.70 = 92,247.40/x
  3. Step 3: Cross multiply
    328,907.80x = 493,442.70 × 92,247.40
  4. Step 4: Simplify right side
    328,907.80x = 45,518,806,123.98
  5. Step 5: Solve for x
    x = 45,518,806,123.98/328,907.80
  6. Step 6: Final answer
    x = 138,393.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.