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Finding the Fourth Proportional to 390,091, 538,325.58 and 211,243

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Solution

The fourth proportional to 390,091, 538,325.58 and 211,243 is: 291,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,091 : 538,325.58 = 211,243 : x
  2. Step 2: Convert to fraction form
    390,091/538,325.58 = 211,243/x
  3. Step 3: Cross multiply
    390,091x = 538,325.58 × 211,243
  4. Step 4: Simplify right side
    390,091x = 113,717,510,495.94
  5. Step 5: Solve for x
    x = 113,717,510,495.94/390,091
  6. Step 6: Final answer
    x = 291,515.34

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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.