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Finding the Fourth Proportional to 219,268.08, 302,602.12 and 154,758

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Solution

The fourth proportional to 219,268.08, 302,602.12 and 154,758 is: 213,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,268.08 : 302,602.12 = 154,758 : x
  2. Step 2: Convert to fraction form
    219,268.08/302,602.12 = 154,758/x
  3. Step 3: Cross multiply
    219,268.08x = 302,602.12 × 154,758
  4. Step 4: Simplify right side
    219,268.08x = 46,830,098,886.96
  5. Step 5: Solve for x
    x = 46,830,098,886.96/219,268.08
  6. Step 6: Final answer
    x = 213,574.63

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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.