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Finding the Fourth Proportional to 286,580.16, 429,059.16 and 219,034.80

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Solution

The fourth proportional to 286,580.16, 429,059.16 and 219,034.80 is: 327,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,580.16 : 429,059.16 = 219,034.80 : x
  2. Step 2: Convert to fraction form
    286,580.16/429,059.16 = 219,034.80/x
  3. Step 3: Cross multiply
    286,580.16x = 429,059.16 × 219,034.80
  4. Step 4: Simplify right side
    286,580.16x = 93,978,887,298.77
  5. Step 5: Solve for x
    x = 93,978,887,298.77/286,580.16
  6. Step 6: Final answer
    x = 327,932.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.