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Finding the Fourth Proportional to 909,646,907.70, 1,364,470,361.55 and 812,712,069.30

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Solution

The fourth proportional to 909,646,907.70, 1,364,470,361.55 and 812,712,069.30 is: 1,219,068,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,646,907.70 : 1,364,470,361.55 = 812,712,069.30 : x
  2. Step 2: Convert to fraction form
    909,646,907.70/1,364,470,361.55 = 812,712,069.30/x
  3. Step 3: Cross multiply
    909,646,907.70x = 1,364,470,361.55 × 812,712,069.30
  4. Step 4: Simplify right side
    909,646,907.70x = 1,108,921,531,033,819,520
  5. Step 5: Solve for x
    x = 1,108,921,531,033,819,520/909,646,907.70
  6. Step 6: Final answer
    x = 1,219,068,103.95

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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.