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Finding the Fourth Proportional to 280,413.33, 386,955.75 and 153,064.32

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Solution

The fourth proportional to 280,413.33, 386,955.75 and 153,064.32 is: 211,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,413.33 : 386,955.75 = 153,064.32 : x
  2. Step 2: Convert to fraction form
    280,413.33/386,955.75 = 153,064.32/x
  3. Step 3: Cross multiply
    280,413.33x = 386,955.75 × 153,064.32
  4. Step 4: Simplify right side
    280,413.33x = 59,229,118,743.84
  5. Step 5: Solve for x
    x = 59,229,118,743.84/280,413.33
  6. Step 6: Final answer
    x = 211,220.77

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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.