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Finding the Fourth Proportional to 288,413.31, 432,891.39 and 146,360.58

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Solution

The fourth proportional to 288,413.31, 432,891.39 and 146,360.58 is: 219,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,413.31 : 432,891.39 = 146,360.58 : x
  2. Step 2: Convert to fraction form
    288,413.31/432,891.39 = 146,360.58/x
  3. Step 3: Cross multiply
    288,413.31x = 432,891.39 × 146,360.58
  4. Step 4: Simplify right side
    288,413.31x = 63,358,234,917.41
  5. Step 5: Solve for x
    x = 63,358,234,917.41/288,413.31
  6. Step 6: Final answer
    x = 219,678.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.