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Finding the Fourth Proportional to 557,656.86, 769,769.55 and 343,084.62

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Solution

The fourth proportional to 557,656.86, 769,769.55 and 343,084.62 is: 473,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,656.86 : 769,769.55 = 343,084.62 : x
  2. Step 2: Convert to fraction form
    557,656.86/769,769.55 = 343,084.62/x
  3. Step 3: Cross multiply
    557,656.86x = 769,769.55 × 343,084.62
  4. Step 4: Simplify right side
    557,656.86x = 264,096,093,549.32
  5. Step 5: Solve for x
    x = 264,096,093,549.32/557,656.86
  6. Step 6: Final answer
    x = 473,581.72

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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.