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Finding the Fourth Proportional to 203,484.36, 280,751.04 and 160,330.05

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Solution

The fourth proportional to 203,484.36, 280,751.04 and 160,330.05 is: 221,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484.36 : 280,751.04 = 160,330.05 : x
  2. Step 2: Convert to fraction form
    203,484.36/280,751.04 = 160,330.05/x
  3. Step 3: Cross multiply
    203,484.36x = 280,751.04 × 160,330.05
  4. Step 4: Simplify right side
    203,484.36x = 45,012,828,280.75
  5. Step 5: Solve for x
    x = 45,012,828,280.75/203,484.36
  6. Step 6: Final answer
    x = 221,210.26

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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.