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Finding the Fourth Proportional to 384,498.37, 530,596.74 and 212,413.60

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Solution

The fourth proportional to 384,498.37, 530,596.74 and 212,413.60 is: 293,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,498.37 : 530,596.74 = 212,413.60 : x
  2. Step 2: Convert to fraction form
    384,498.37/530,596.74 = 212,413.60/x
  3. Step 3: Cross multiply
    384,498.37x = 530,596.74 × 212,413.60
  4. Step 4: Simplify right side
    384,498.37x = 112,705,963,691.66
  5. Step 5: Solve for x
    x = 112,705,963,691.66/384,498.37
  6. Step 6: Final answer
    x = 293,124.69

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1.5x scale

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.