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Finding the Fourth Proportional to 398,477.70, 549,899.64 and 217,189.80

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Solution

The fourth proportional to 398,477.70, 549,899.64 and 217,189.80 is: 299,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,477.70 : 549,899.64 = 217,189.80 : x
  2. Step 2: Convert to fraction form
    398,477.70/549,899.64 = 217,189.80/x
  3. Step 3: Cross multiply
    398,477.70x = 549,899.64 × 217,189.80
  4. Step 4: Simplify right side
    398,477.70x = 119,432,592,831.67
  5. Step 5: Solve for x
    x = 119,432,592,831.67/398,477.70
  6. Step 6: Final answer
    x = 299,722.15

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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.