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Finding the Fourth Proportional to 390,526, 538,926.24 and 211,678

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Solution

The fourth proportional to 390,526, 538,926.24 and 211,678 is: 292,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,526 : 538,926.24 = 211,678 : x
  2. Step 2: Convert to fraction form
    390,526/538,926.24 = 211,678/x
  3. Step 3: Cross multiply
    390,526x = 538,926.24 × 211,678
  4. Step 4: Simplify right side
    390,526x = 114,078,828,630.72
  5. Step 5: Solve for x
    x = 114,078,828,630.72/390,526
  6. Step 6: Final answer
    x = 292,115.84

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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.