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Finding the Fourth Proportional to 203,276.64, 280,518 and 112,632.24

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Solution

The fourth proportional to 203,276.64, 280,518 and 112,632.24 is: 155,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,276.64 : 280,518 = 112,632.24 : x
  2. Step 2: Convert to fraction form
    203,276.64/280,518 = 112,632.24/x
  3. Step 3: Cross multiply
    203,276.64x = 280,518 × 112,632.24
  4. Step 4: Simplify right side
    203,276.64x = 31,595,370,700.32
  5. Step 5: Solve for x
    x = 31,595,370,700.32/203,276.64
  6. Step 6: Final answer
    x = 155,430.41

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1.5x scale

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.