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Finding the Fourth Proportional to 390,138, 538,390.44 and 211,290

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Solution

The fourth proportional to 390,138, 538,390.44 and 211,290 is: 291,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,138 : 538,390.44 = 211,290 : x
  2. Step 2: Convert to fraction form
    390,138/538,390.44 = 211,290/x
  3. Step 3: Cross multiply
    390,138x = 538,390.44 × 211,290
  4. Step 4: Simplify right side
    390,138x = 113,756,516,067.60
  5. Step 5: Solve for x
    x = 113,756,516,067.60/390,138
  6. Step 6: Final answer
    x = 291,580.20

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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.