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Finding the Fourth Proportional to 402,454.05, 603,674.87 and 102,931.98

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Solution

The fourth proportional to 402,454.05, 603,674.87 and 102,931.98 is: 154,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,454.05 : 603,674.87 = 102,931.98 : x
  2. Step 2: Convert to fraction form
    402,454.05/603,674.87 = 102,931.98/x
  3. Step 3: Cross multiply
    402,454.05x = 603,674.87 × 102,931.98
  4. Step 4: Simplify right side
    402,454.05x = 62,137,449,130.68
  5. Step 5: Solve for x
    x = 62,137,449,130.68/402,454.05
  6. Step 6: Final answer
    x = 154,396.38

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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.