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Finding the Fourth Proportional to 390,088, 538,321.44 and 211,240

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Solution

The fourth proportional to 390,088, 538,321.44 and 211,240 is: 291,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,088 : 538,321.44 = 211,240 : x
  2. Step 2: Convert to fraction form
    390,088/538,321.44 = 211,240/x
  3. Step 3: Cross multiply
    390,088x = 538,321.44 × 211,240
  4. Step 4: Simplify right side
    390,088x = 113,715,020,985.60
  5. Step 5: Solve for x
    x = 113,715,020,985.60/390,088
  6. Step 6: Final answer
    x = 291,511.20

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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.