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Finding the Fourth Proportional to 570,045.44, 786,540.16 and 343,686.08

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Solution

The fourth proportional to 570,045.44, 786,540.16 and 343,686.08 is: 474,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,045.44 : 786,540.16 = 343,686.08 : x
  2. Step 2: Convert to fraction form
    570,045.44/786,540.16 = 343,686.08/x
  3. Step 3: Cross multiply
    570,045.44x = 786,540.16 × 343,686.08
  4. Step 4: Simplify right side
    570,045.44x = 270,322,904,352.97
  5. Step 5: Solve for x
    x = 270,322,904,352.97/570,045.44
  6. Step 6: Final answer
    x = 474,212.91

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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.