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Finding the Fourth Proportional to 398,250.51, 549,579.29 and 216,964.61

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Solution

The fourth proportional to 398,250.51, 549,579.29 and 216,964.61 is: 299,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,250.51 : 549,579.29 = 216,964.61 : x
  2. Step 2: Convert to fraction form
    398,250.51/549,579.29 = 216,964.61/x
  3. Step 3: Cross multiply
    398,250.51x = 549,579.29 × 216,964.61
  4. Step 4: Simplify right side
    398,250.51x = 119,239,252,486.21
  5. Step 5: Solve for x
    x = 119,239,252,486.21/398,250.51
  6. Step 6: Final answer
    x = 299,407.66

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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.