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Finding the Fourth Proportional to 219,534.64, 302,971.80 and 134,640.16

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Solution

The fourth proportional to 219,534.64, 302,971.80 and 134,640.16 is: 185,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534.64 : 302,971.80 = 134,640.16 : x
  2. Step 2: Convert to fraction form
    219,534.64/302,971.80 = 134,640.16/x
  3. Step 3: Cross multiply
    219,534.64x = 302,971.80 × 134,640.16
  4. Step 4: Simplify right side
    219,534.64x = 40,792,171,627.49
  5. Step 5: Solve for x
    x = 40,792,171,627.49/219,534.64
  6. Step 6: Final answer
    x = 185,812.01

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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.