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Finding the Fourth Proportional to 402,193.71, 603,289.98 and 102,674.28

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Solution

The fourth proportional to 402,193.71, 603,289.98 and 102,674.28 is: 154,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.71 : 603,289.98 = 102,674.28 : x
  2. Step 2: Convert to fraction form
    402,193.71/603,289.98 = 102,674.28/x
  3. Step 3: Cross multiply
    402,193.71x = 603,289.98 × 102,674.28
  4. Step 4: Simplify right side
    402,193.71x = 61,942,364,327.71
  5. Step 5: Solve for x
    x = 61,942,364,327.71/402,193.71
  6. Step 6: Final answer
    x = 154,011.27

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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.