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Finding the Fourth Proportional to 458,957.21, 631,114.94 and 398,421.96

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Solution

The fourth proportional to 458,957.21, 631,114.94 and 398,421.96 is: 547,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,957.21 : 631,114.94 = 398,421.96 : x
  2. Step 2: Convert to fraction form
    458,957.21/631,114.94 = 398,421.96/x
  3. Step 3: Cross multiply
    458,957.21x = 631,114.94 × 398,421.96
  4. Step 4: Simplify right side
    458,957.21x = 251,450,050,009.46
  5. Step 5: Solve for x
    x = 251,450,050,009.46/458,957.21
  6. Step 6: Final answer
    x = 547,872.54

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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.