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Finding the Fourth Proportional to 808,640,893.60, 1,212,961,340.40 and 776,896,151.20

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Solution

The fourth proportional to 808,640,893.60, 1,212,961,340.40 and 776,896,151.20 is: 1,165,344,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,640,893.60 : 1,212,961,340.40 = 776,896,151.20 : x
  2. Step 2: Convert to fraction form
    808,640,893.60/1,212,961,340.40 = 776,896,151.20/x
  3. Step 3: Cross multiply
    808,640,893.60x = 1,212,961,340.40 × 776,896,151.20
  4. Step 4: Simplify right side
    808,640,893.60x = 942,344,996,911,153,152
  5. Step 5: Solve for x
    x = 942,344,996,911,153,152/808,640,893.60
  6. Step 6: Final answer
    x = 1,165,344,226.80

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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.