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Finding the Fourth Proportional to 282,968, 390,551.32 and 162,190.26

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Solution

The fourth proportional to 282,968, 390,551.32 and 162,190.26 is: 223,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,968 : 390,551.32 = 162,190.26 : x
  2. Step 2: Convert to fraction form
    282,968/390,551.32 = 162,190.26/x
  3. Step 3: Cross multiply
    282,968x = 390,551.32 × 162,190.26
  4. Step 4: Simplify right side
    282,968x = 63,343,620,134.14
  5. Step 5: Solve for x
    x = 63,343,620,134.14/282,968
  6. Step 6: Final answer
    x = 223,854.36

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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.