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Finding the Fourth Proportional to 219,478.80, 302,903.04 and 158,275.32

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Solution

The fourth proportional to 219,478.80, 302,903.04 and 158,275.32 is: 218,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,478.80 : 302,903.04 = 158,275.32 : x
  2. Step 2: Convert to fraction form
    219,478.80/302,903.04 = 158,275.32/x
  3. Step 3: Cross multiply
    219,478.80x = 302,903.04 × 158,275.32
  4. Step 4: Simplify right side
    219,478.80x = 47,942,075,584.97
  5. Step 5: Solve for x
    x = 47,942,075,584.97/219,478.80
  6. Step 6: Final answer
    x = 218,436.02

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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.