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Finding the Fourth Proportional to 398,119.50, 549,404.91 and 219,271.50

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Solution

The fourth proportional to 398,119.50, 549,404.91 and 219,271.50 is: 302,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,119.50 : 549,404.91 = 219,271.50 : x
  2. Step 2: Convert to fraction form
    398,119.50/549,404.91 = 219,271.50/x
  3. Step 3: Cross multiply
    398,119.50x = 549,404.91 × 219,271.50
  4. Step 4: Simplify right side
    398,119.50x = 120,468,838,723.07
  5. Step 5: Solve for x
    x = 120,468,838,723.07/398,119.50
  6. Step 6: Final answer
    x = 302,594.67

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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.