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Finding the Fourth Proportional to 557,369.84, 769,144.63 and 315,654.15

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Solution

The fourth proportional to 557,369.84, 769,144.63 and 315,654.15 is: 435,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,369.84 : 769,144.63 = 315,654.15 : x
  2. Step 2: Convert to fraction form
    557,369.84/769,144.63 = 315,654.15/x
  3. Step 3: Cross multiply
    557,369.84x = 769,144.63 × 315,654.15
  4. Step 4: Simplify right side
    557,369.84x = 242,783,692,770.29
  5. Step 5: Solve for x
    x = 242,783,692,770.29/557,369.84
  6. Step 6: Final answer
    x = 435,588.14

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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.