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Finding the Fourth Proportional to 340,281, 469,587.78 and 189,413.64

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Solution

The fourth proportional to 340,281, 469,587.78 and 189,413.64 is: 261,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,281 : 469,587.78 = 189,413.64 : x
  2. Step 2: Convert to fraction form
    340,281/469,587.78 = 189,413.64/x
  3. Step 3: Cross multiply
    340,281x = 469,587.78 × 189,413.64
  4. Step 4: Simplify right side
    340,281x = 88,946,330,709.32
  5. Step 5: Solve for x
    x = 88,946,330,709.32/340,281
  6. Step 6: Final answer
    x = 261,390.82

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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.