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Finding the Fourth Proportional to 557,096.31, 768,792.60 and 302,447.70

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Solution

The fourth proportional to 557,096.31, 768,792.60 and 302,447.70 is: 417,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,096.31 : 768,792.60 = 302,447.70 : x
  2. Step 2: Convert to fraction form
    557,096.31/768,792.60 = 302,447.70/x
  3. Step 3: Cross multiply
    557,096.31x = 768,792.60 × 302,447.70
  4. Step 4: Simplify right side
    557,096.31x = 232,519,553,647.02
  5. Step 5: Solve for x
    x = 232,519,553,647.02/557,096.31
  6. Step 6: Final answer
    x = 417,377.66

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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.