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Finding the Fourth Proportional to 219,344.25, 302,695.47 and 118,742.25

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Solution

The fourth proportional to 219,344.25, 302,695.47 and 118,742.25 is: 163,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344.25 : 302,695.47 = 118,742.25 : x
  2. Step 2: Convert to fraction form
    219,344.25/302,695.47 = 118,742.25/x
  3. Step 3: Cross multiply
    219,344.25x = 302,695.47 × 118,742.25
  4. Step 4: Simplify right side
    219,344.25x = 35,942,741,172.61
  5. Step 5: Solve for x
    x = 35,942,741,172.61/219,344.25
  6. Step 6: Final answer
    x = 163,864.52

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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.