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Finding the Fourth Proportional to 265,037.40, 397,431.36 and 78,011.64

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Solution

The fourth proportional to 265,037.40, 397,431.36 and 78,011.64 is: 116,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,037.40 : 397,431.36 = 78,011.64 : x
  2. Step 2: Convert to fraction form
    265,037.40/397,431.36 = 78,011.64/x
  3. Step 3: Cross multiply
    265,037.40x = 397,431.36 × 78,011.64
  4. Step 4: Simplify right side
    265,037.40x = 31,004,272,181.03
  5. Step 5: Solve for x
    x = 31,004,272,181.03/265,037.40
  6. Step 6: Final answer
    x = 116,980.74

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1.5x scale

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.