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Finding the Fourth Proportional to 398,521.64, 549,950.10 and 217,238.60

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Solution

The fourth proportional to 398,521.64, 549,950.10 and 217,238.60 is: 299,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,521.64 : 549,950.10 = 217,238.60 : x
  2. Step 2: Convert to fraction form
    398,521.64/549,950.10 = 217,238.60/x
  3. Step 3: Cross multiply
    398,521.64x = 549,950.10 × 217,238.60
  4. Step 4: Simplify right side
    398,521.64x = 119,470,389,793.86
  5. Step 5: Solve for x
    x = 119,470,389,793.86/398,521.64
  6. Step 6: Final answer
    x = 299,783.95

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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.