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Finding the Fourth Proportional to 282,805.25, 390,355.37 and 162,026.96

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Solution

The fourth proportional to 282,805.25, 390,355.37 and 162,026.96 is: 223,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,805.25 : 390,355.37 = 162,026.96 : x
  2. Step 2: Convert to fraction form
    282,805.25/390,355.37 = 162,026.96/x
  3. Step 3: Cross multiply
    282,805.25x = 390,355.37 × 162,026.96
  4. Step 4: Simplify right side
    282,805.25x = 63,248,092,374.07
  5. Step 5: Solve for x
    x = 63,248,092,374.07/282,805.25
  6. Step 6: Final answer
    x = 223,645.40

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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.