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Finding the Fourth Proportional to 398,360, 549,748.32 and 219,523.52

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Solution

The fourth proportional to 398,360, 549,748.32 and 219,523.52 is: 302,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,360 : 549,748.32 = 219,523.52 : x
  2. Step 2: Convert to fraction form
    398,360/549,748.32 = 219,523.52/x
  3. Step 3: Cross multiply
    398,360x = 549,748.32 × 219,523.52
  4. Step 4: Simplify right side
    398,360x = 120,682,686,320.49
  5. Step 5: Solve for x
    x = 120,682,686,320.49/398,360
  6. Step 6: Final answer
    x = 302,948.81

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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.