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Finding the Fourth Proportional to 282,696.40, 390,188.64 and 161,907.58

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Solution

The fourth proportional to 282,696.40, 390,188.64 and 161,907.58 is: 223,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696.40 : 390,188.64 = 161,907.58 : x
  2. Step 2: Convert to fraction form
    282,696.40/390,188.64 = 161,907.58/x
  3. Step 3: Cross multiply
    282,696.40x = 390,188.64 × 161,907.58
  4. Step 4: Simplify right side
    282,696.40x = 63,174,498,445.89
  5. Step 5: Solve for x
    x = 63,174,498,445.89/282,696.40
  6. Step 6: Final answer
    x = 223,471.18

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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.