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Finding the Fourth Proportional to 645,804.09, 968,706.95 and 308,765.52

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Solution

The fourth proportional to 645,804.09, 968,706.95 and 308,765.52 is: 463,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,804.09 : 968,706.95 = 308,765.52 : x
  2. Step 2: Convert to fraction form
    645,804.09/968,706.95 = 308,765.52/x
  3. Step 3: Cross multiply
    645,804.09x = 968,706.95 × 308,765.52
  4. Step 4: Simplify right side
    645,804.09x = 299,103,303,600.54
  5. Step 5: Solve for x
    x = 299,103,303,600.54/645,804.09
  6. Step 6: Final answer
    x = 463,148.67

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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.