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Finding the Fourth Proportional to 384,109.78, 530,071.59 and 212,027.84

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Solution

The fourth proportional to 384,109.78, 530,071.59 and 212,027.84 is: 292,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,109.78 : 530,071.59 = 212,027.84 : x
  2. Step 2: Convert to fraction form
    384,109.78/530,071.59 = 212,027.84/x
  3. Step 3: Cross multiply
    384,109.78x = 530,071.59 × 212,027.84
  4. Step 4: Simplify right side
    384,109.78x = 112,389,934,273.07
  5. Step 5: Solve for x
    x = 112,389,934,273.07/384,109.78
  6. Step 6: Final answer
    x = 292,598.47

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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.