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Finding the Fourth Proportional to 557,952.32, 770,115.43 and 343,284.60

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Solution

The fourth proportional to 557,952.32, 770,115.43 and 343,284.60 is: 473,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,952.32 : 770,115.43 = 343,284.60 : x
  2. Step 2: Convert to fraction form
    557,952.32/770,115.43 = 343,284.60/x
  3. Step 3: Cross multiply
    557,952.32x = 770,115.43 × 343,284.60
  4. Step 4: Simplify right side
    557,952.32x = 264,368,766,326.52
  5. Step 5: Solve for x
    x = 264,368,766,326.52/557,952.32
  6. Step 6: Final answer
    x = 473,819.64

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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.