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Finding the Fourth Proportional to 722,339,731.78, 996,833,931.69 and 392,314,870.78

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Solution

The fourth proportional to 722,339,731.78, 996,833,931.69 and 392,314,870.78 is: 541,397,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,339,731.78 : 996,833,931.69 = 392,314,870.78 : x
  2. Step 2: Convert to fraction form
    722,339,731.78/996,833,931.69 = 392,314,870.78/x
  3. Step 3: Cross multiply
    722,339,731.78x = 996,833,931.69 × 392,314,870.78
  4. Step 4: Simplify right side
    722,339,731.78x = 391,072,775,100,081,664
  5. Step 5: Solve for x
    x = 391,072,775,100,081,664/722,339,731.78
  6. Step 6: Final answer
    x = 541,397,292.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.