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Finding the Fourth Proportional to 398,527.23, 549,967.01 and 217,239.51

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Solution

The fourth proportional to 398,527.23, 549,967.01 and 217,239.51 is: 299,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,527.23 : 549,967.01 = 217,239.51 : x
  2. Step 2: Convert to fraction form
    398,527.23/549,967.01 = 217,239.51/x
  3. Step 3: Cross multiply
    398,527.23x = 549,967.01 × 217,239.51
  4. Step 4: Simplify right side
    398,527.23x = 119,474,562,682.37
  5. Step 5: Solve for x
    x = 119,474,562,682.37/398,527.23
  6. Step 6: Final answer
    x = 299,790.21

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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.