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Finding the Fourth Proportional to 315,488.72, 435,424.44 and 200,647.64

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Solution

The fourth proportional to 315,488.72, 435,424.44 and 200,647.64 is: 276,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,488.72 : 435,424.44 = 200,647.64 : x
  2. Step 2: Convert to fraction form
    315,488.72/435,424.44 = 200,647.64/x
  3. Step 3: Cross multiply
    315,488.72x = 435,424.44 × 200,647.64
  4. Step 4: Simplify right side
    315,488.72x = 87,366,886,284.32
  5. Step 5: Solve for x
    x = 87,366,886,284.32/315,488.72
  6. Step 6: Final answer
    x = 276,925.55

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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.