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Finding the Fourth Proportional to 390,094, 538,329.72 and 211,246

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Solution

The fourth proportional to 390,094, 538,329.72 and 211,246 is: 291,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,094 : 538,329.72 = 211,246 : x
  2. Step 2: Convert to fraction form
    390,094/538,329.72 = 211,246/x
  3. Step 3: Cross multiply
    390,094x = 538,329.72 × 211,246
  4. Step 4: Simplify right side
    390,094x = 113,720,000,031.12
  5. Step 5: Solve for x
    x = 113,720,000,031.12/390,094
  6. Step 6: Final answer
    x = 291,519.48

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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.