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Finding the Fourth Proportional to 398,196.32, 549,493.16 and 232,639.62

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Solution

The fourth proportional to 398,196.32, 549,493.16 and 232,639.62 is: 321,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,196.32 : 549,493.16 = 232,639.62 : x
  2. Step 2: Convert to fraction form
    398,196.32/549,493.16 = 232,639.62/x
  3. Step 3: Cross multiply
    398,196.32x = 549,493.16 × 232,639.62
  4. Step 4: Simplify right side
    398,196.32x = 127,833,878,771.80
  5. Step 5: Solve for x
    x = 127,833,878,771.80/398,196.32
  6. Step 6: Final answer
    x = 321,032.30

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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.