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Finding the Fourth Proportional to 398,128.68, 549,418.14 and 216,841.32

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Solution

The fourth proportional to 398,128.68, 549,418.14 and 216,841.32 is: 299,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,128.68 : 549,418.14 = 216,841.32 : x
  2. Step 2: Convert to fraction form
    398,128.68/549,418.14 = 216,841.32/x
  3. Step 3: Cross multiply
    398,128.68x = 549,418.14 × 216,841.32
  4. Step 4: Simplify right side
    398,128.68x = 119,136,554,709.55
  5. Step 5: Solve for x
    x = 119,136,554,709.55/398,128.68
  6. Step 6: Final answer
    x = 299,241.33

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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.