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Finding the Fourth Proportional to 666,339,640.31, 998,916,737.60 and 316,369,798.58

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Solution

The fourth proportional to 666,339,640.31, 998,916,737.60 and 316,369,798.58 is: 474,273,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,339,640.31 : 998,916,737.60 = 316,369,798.58 : x
  2. Step 2: Convert to fraction form
    666,339,640.31/998,916,737.60 = 316,369,798.58/x
  3. Step 3: Cross multiply
    666,339,640.31x = 998,916,737.60 × 316,369,798.58
  4. Step 4: Simplify right side
    666,339,640.31x = 316,027,087,075,990,912
  5. Step 5: Solve for x
    x = 316,027,087,075,990,912/666,339,640.31
  6. Step 6: Final answer
    x = 474,273,280.41

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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.