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Finding the Fourth Proportional to 398,254.36, 549,584.60 and 216,968.48

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Solution

The fourth proportional to 398,254.36, 549,584.60 and 216,968.48 is: 299,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,254.36 : 549,584.60 = 216,968.48 : x
  2. Step 2: Convert to fraction form
    398,254.36/549,584.60 = 216,968.48/x
  3. Step 3: Cross multiply
    398,254.36x = 549,584.60 × 216,968.48
  4. Step 4: Simplify right side
    398,254.36x = 119,242,535,293.41
  5. Step 5: Solve for x
    x = 119,242,535,293.41/398,254.36
  6. Step 6: Final answer
    x = 299,413.01

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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.