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Finding the Fourth Proportional to 557,170.76, 768,895.68 and 302,522

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Solution

The fourth proportional to 557,170.76, 768,895.68 and 302,522 is: 417,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,170.76 : 768,895.68 = 302,522 : x
  2. Step 2: Convert to fraction form
    557,170.76/768,895.68 = 302,522/x
  3. Step 3: Cross multiply
    557,170.76x = 768,895.68 × 302,522
  4. Step 4: Simplify right side
    557,170.76x = 232,607,858,904.96
  5. Step 5: Solve for x
    x = 232,607,858,904.96/557,170.76
  6. Step 6: Final answer
    x = 417,480.38

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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.