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Finding the Fourth Proportional to 203,496.55, 280,501.59 and 160,406.17

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Solution

The fourth proportional to 203,496.55, 280,501.59 and 160,406.17 is: 221,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,496.55 : 280,501.59 = 160,406.17 : x
  2. Step 2: Convert to fraction form
    203,496.55/280,501.59 = 160,406.17/x
  3. Step 3: Cross multiply
    203,496.55x = 280,501.59 × 160,406.17
  4. Step 4: Simplify right side
    203,496.55x = 44,994,185,730.81
  5. Step 5: Solve for x
    x = 44,994,185,730.81/203,496.55
  6. Step 6: Final answer
    x = 221,105.40

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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.