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Finding the Fourth Proportional to 265,038.40, 397,432.86 and 78,012.64

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Solution

The fourth proportional to 265,038.40, 397,432.86 and 78,012.64 is: 116,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,038.40 : 397,432.86 = 78,012.64 : x
  2. Step 2: Convert to fraction form
    265,038.40/397,432.86 = 78,012.64/x
  3. Step 3: Cross multiply
    265,038.40x = 397,432.86 × 78,012.64
  4. Step 4: Simplify right side
    265,038.40x = 31,004,786,631.35
  5. Step 5: Solve for x
    x = 31,004,786,631.35/265,038.40
  6. Step 6: Final answer
    x = 116,982.24

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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.