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Finding the Fourth Proportional to 402,324.63, 603,485.24 and 102,804.74

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Solution

The fourth proportional to 402,324.63, 603,485.24 and 102,804.74 is: 154,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,324.63 : 603,485.24 = 102,804.74 : x
  2. Step 2: Convert to fraction form
    402,324.63/603,485.24 = 102,804.74/x
  3. Step 3: Cross multiply
    402,324.63x = 603,485.24 × 102,804.74
  4. Step 4: Simplify right side
    402,324.63x = 62,041,139,660.59
  5. Step 5: Solve for x
    x = 62,041,139,660.59/402,324.63
  6. Step 6: Final answer
    x = 154,206.67

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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.