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Finding the Fourth Proportional to 288,958, 398,779.72 and 161,642.16

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Solution

The fourth proportional to 288,958, 398,779.72 and 161,642.16 is: 223,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,958 : 398,779.72 = 161,642.16 : x
  2. Step 2: Convert to fraction form
    288,958/398,779.72 = 161,642.16/x
  3. Step 3: Cross multiply
    288,958x = 398,779.72 × 161,642.16
  4. Step 4: Simplify right side
    288,958x = 64,459,615,305.00
  5. Step 5: Solve for x
    x = 64,459,615,305.00/288,958
  6. Step 6: Final answer
    x = 223,076.07

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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.