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Finding the Fourth Proportional to 369,090, 509,198.40 and 233,073.18

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Solution

The fourth proportional to 369,090, 509,198.40 and 233,073.18 is: 321,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,090 : 509,198.40 = 233,073.18 : x
  2. Step 2: Convert to fraction form
    369,090/509,198.40 = 233,073.18/x
  3. Step 3: Cross multiply
    369,090x = 509,198.40 × 233,073.18
  4. Step 4: Simplify right side
    369,090x = 118,680,490,338.91
  5. Step 5: Solve for x
    x = 118,680,490,338.91/369,090
  6. Step 6: Final answer
    x = 321,548.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.