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Finding the Fourth Proportional to 255,458.64, 383,234.46 and 86,970.34

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Solution

The fourth proportional to 255,458.64, 383,234.46 and 86,970.34 is: 130,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,458.64 : 383,234.46 = 86,970.34 : x
  2. Step 2: Convert to fraction form
    255,458.64/383,234.46 = 86,970.34/x
  3. Step 3: Cross multiply
    255,458.64x = 383,234.46 × 86,970.34
  4. Step 4: Simplify right side
    255,458.64x = 33,330,031,438.82
  5. Step 5: Solve for x
    x = 33,330,031,438.82/255,458.64
  6. Step 6: Final answer
    x = 130,471.34

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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.