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Finding the Fourth Proportional to 389,088, 536,941.44 and 210,240

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Solution

The fourth proportional to 389,088, 536,941.44 and 210,240 is: 290,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,088 : 536,941.44 = 210,240 : x
  2. Step 2: Convert to fraction form
    389,088/536,941.44 = 210,240/x
  3. Step 3: Cross multiply
    389,088x = 536,941.44 × 210,240
  4. Step 4: Simplify right side
    389,088x = 112,886,568,345.60
  5. Step 5: Solve for x
    x = 112,886,568,345.60/389,088
  6. Step 6: Final answer
    x = 290,131.20

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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.