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Finding the Fourth Proportional to 310,880.80, 465,665.10 and 277,638.40

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Solution

The fourth proportional to 310,880.80, 465,665.10 and 277,638.40 is: 415,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,880.80 : 465,665.10 = 277,638.40 : x
  2. Step 2: Convert to fraction form
    310,880.80/465,665.10 = 277,638.40/x
  3. Step 3: Cross multiply
    310,880.80x = 465,665.10 × 277,638.40
  4. Step 4: Simplify right side
    310,880.80x = 129,286,513,299.84
  5. Step 5: Solve for x
    x = 129,286,513,299.84/310,880.80
  6. Step 6: Final answer
    x = 415,871.66

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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.