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Finding the Fourth Proportional to 308,653.49, 465,293.65 and 288,078.60

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Solution

The fourth proportional to 308,653.49, 465,293.65 and 288,078.60 is: 434,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,653.49 : 465,293.65 = 288,078.60 : x
  2. Step 2: Convert to fraction form
    308,653.49/465,293.65 = 288,078.60/x
  3. Step 3: Cross multiply
    308,653.49x = 465,293.65 × 288,078.60
  4. Step 4: Simplify right side
    308,653.49x = 134,041,143,280.89
  5. Step 5: Solve for x
    x = 134,041,143,280.89/308,653.49
  6. Step 6: Final answer
    x = 434,277.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.