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Finding the Fourth Proportional to 208,330.64, 287,478.96 and 122,280.32

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Solution

The fourth proportional to 208,330.64, 287,478.96 and 122,280.32 is: 168,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,330.64 : 287,478.96 = 122,280.32 : x
  2. Step 2: Convert to fraction form
    208,330.64/287,478.96 = 122,280.32/x
  3. Step 3: Cross multiply
    208,330.64x = 287,478.96 × 122,280.32
  4. Step 4: Simplify right side
    208,330.64x = 35,153,019,222.07
  5. Step 5: Solve for x
    x = 35,153,019,222.07/208,330.64
  6. Step 6: Final answer
    x = 168,736.67

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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.