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Finding the Fourth Proportional to 219,300.16, 302,648 and 123,772.16

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Solution

The fourth proportional to 219,300.16, 302,648 and 123,772.16 is: 170,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,300.16 : 302,648 = 123,772.16 : x
  2. Step 2: Convert to fraction form
    219,300.16/302,648 = 123,772.16/x
  3. Step 3: Cross multiply
    219,300.16x = 302,648 × 123,772.16
  4. Step 4: Simplify right side
    219,300.16x = 37,459,396,679.68
  5. Step 5: Solve for x
    x = 37,459,396,679.68/219,300.16
  6. Step 6: Final answer
    x = 170,813.36

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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.