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Finding the Fourth Proportional to 546,945.70, 820,413.15 and 172,968.70

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Solution

The fourth proportional to 546,945.70, 820,413.15 and 172,968.70 is: 259,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,945.70 : 820,413.15 = 172,968.70 : x
  2. Step 2: Convert to fraction form
    546,945.70/820,413.15 = 172,968.70/x
  3. Step 3: Cross multiply
    546,945.70x = 820,413.15 × 172,968.70
  4. Step 4: Simplify right side
    546,945.70x = 141,905,796,018.41
  5. Step 5: Solve for x
    x = 141,905,796,018.41/546,945.70
  6. Step 6: Final answer
    x = 259,451.34

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1.5x scale

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.