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Finding the Fourth Proportional to 423,546.48, 584,413.92 and 287,688.96

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Solution

The fourth proportional to 423,546.48, 584,413.92 and 287,688.96 is: 396,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,546.48 : 584,413.92 = 287,688.96 : x
  2. Step 2: Convert to fraction form
    423,546.48/584,413.92 = 287,688.96/x
  3. Step 3: Cross multiply
    423,546.48x = 584,413.92 × 287,688.96
  4. Step 4: Simplify right side
    423,546.48x = 168,129,432,854.32
  5. Step 5: Solve for x
    x = 168,129,432,854.32/423,546.48
  6. Step 6: Final answer
    x = 396,956.27

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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.