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Finding the Fourth Proportional to 282,649.29, 390,054.87 and 161,790

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Solution

The fourth proportional to 282,649.29, 390,054.87 and 161,790 is: 223,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,649.29 : 390,054.87 = 161,790 : x
  2. Step 2: Convert to fraction form
    282,649.29/390,054.87 = 161,790/x
  3. Step 3: Cross multiply
    282,649.29x = 390,054.87 × 161,790
  4. Step 4: Simplify right side
    282,649.29x = 63,106,977,417.30
  5. Step 5: Solve for x
    x = 63,106,977,417.30/282,649.29
  6. Step 6: Final answer
    x = 223,269.54

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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.