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Finding the Fourth Proportional to 402,326.64, 603,488.24 and 102,806.74

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Solution

The fourth proportional to 402,326.64, 603,488.24 and 102,806.74 is: 154,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,326.64 : 603,488.24 = 102,806.74 : x
  2. Step 2: Convert to fraction form
    402,326.64/603,488.24 = 102,806.74/x
  3. Step 3: Cross multiply
    402,326.64x = 603,488.24 × 102,806.74
  4. Step 4: Simplify right side
    402,326.64x = 62,042,658,582.74
  5. Step 5: Solve for x
    x = 62,042,658,582.74/402,326.64
  6. Step 6: Final answer
    x = 154,209.67

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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.