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Finding the Fourth Proportional to 871,372.80, 1,307,059.20 and 310,425.60

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Solution

The fourth proportional to 871,372.80, 1,307,059.20 and 310,425.60 is: 465,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,372.80 : 1,307,059.20 = 310,425.60 : x
  2. Step 2: Convert to fraction form
    871,372.80/1,307,059.20 = 310,425.60/x
  3. Step 3: Cross multiply
    871,372.80x = 1,307,059.20 × 310,425.60
  4. Step 4: Simplify right side
    871,372.80x = 405,744,636,395.52
  5. Step 5: Solve for x
    x = 405,744,636,395.52/871,372.80
  6. Step 6: Final answer
    x = 465,638.40

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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.