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Finding the Fourth Proportional to 398,407.81, 549,802.79 and 219,559.81

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Solution

The fourth proportional to 398,407.81, 549,802.79 and 219,559.81 is: 302,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,407.81 : 549,802.79 = 219,559.81 : x
  2. Step 2: Convert to fraction form
    398,407.81/549,802.79 = 219,559.81/x
  3. Step 3: Cross multiply
    398,407.81x = 549,802.79 × 219,559.81
  4. Step 4: Simplify right side
    398,407.81x = 120,714,596,109.87
  5. Step 5: Solve for x
    x = 120,714,596,109.87/398,407.81
  6. Step 6: Final answer
    x = 302,992.54

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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.