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Finding the Fourth Proportional to 478,438.82, 717,165.33 and 212,324.66

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Solution

The fourth proportional to 478,438.82, 717,165.33 and 212,324.66 is: 318,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,438.82 : 717,165.33 = 212,324.66 : x
  2. Step 2: Convert to fraction form
    478,438.82/717,165.33 = 212,324.66/x
  3. Step 3: Cross multiply
    478,438.82x = 717,165.33 × 212,324.66
  4. Step 4: Simplify right side
    478,438.82x = 152,271,881,270.21
  5. Step 5: Solve for x
    x = 152,271,881,270.21/478,438.82
  6. Step 6: Final answer
    x = 318,268.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.