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Finding the Fourth Proportional to 319,029.60, 478,517.40 and 97,413.60

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Solution

The fourth proportional to 319,029.60, 478,517.40 and 97,413.60 is: 146,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,029.60 : 478,517.40 = 97,413.60 : x
  2. Step 2: Convert to fraction form
    319,029.60/478,517.40 = 97,413.60/x
  3. Step 3: Cross multiply
    319,029.60x = 478,517.40 × 97,413.60
  4. Step 4: Simplify right side
    319,029.60x = 46,614,102,596.64
  5. Step 5: Solve for x
    x = 46,614,102,596.64/319,029.60
  6. Step 6: Final answer
    x = 146,112.16

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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.