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Finding the Fourth Proportional to 398,556, 549,979.74 and 224,152.32

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Solution

The fourth proportional to 398,556, 549,979.74 and 224,152.32 is: 309,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,556 : 549,979.74 = 224,152.32 : x
  2. Step 2: Convert to fraction form
    398,556/549,979.74 = 224,152.32/x
  3. Step 3: Cross multiply
    398,556x = 549,979.74 × 224,152.32
  4. Step 4: Simplify right side
    398,556x = 123,279,234,674.00
  5. Step 5: Solve for x
    x = 123,279,234,674.00/398,556
  6. Step 6: Final answer
    x = 309,314.71

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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.