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Finding the Fourth Proportional to 977,313,506.72, 1,465,970,532 and 287,220,722.72

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Solution

The fourth proportional to 977,313,506.72, 1,465,970,532 and 287,220,722.72 is: 430,831,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,313,506.72 : 1,465,970,532 = 287,220,722.72 : x
  2. Step 2: Convert to fraction form
    977,313,506.72/1,465,970,532 = 287,220,722.72/x
  3. Step 3: Cross multiply
    977,313,506.72x = 1,465,970,532 × 287,220,722.72
  4. Step 4: Simplify right side
    977,313,506.72x = 421,057,115,687,262,912
  5. Step 5: Solve for x
    x = 421,057,115,687,262,912/977,313,506.72
  6. Step 6: Final answer
    x = 430,831,163.99

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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.