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Finding the Fourth Proportional to 304,916.40, 457,287.12 and 212,012.64

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Solution

The fourth proportional to 304,916.40, 457,287.12 and 212,012.64 is: 317,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,916.40 : 457,287.12 = 212,012.64 : x
  2. Step 2: Convert to fraction form
    304,916.40/457,287.12 = 212,012.64/x
  3. Step 3: Cross multiply
    304,916.40x = 457,287.12 × 212,012.64
  4. Step 4: Simplify right side
    304,916.40x = 96,950,649,549.20
  5. Step 5: Solve for x
    x = 96,950,649,549.20/304,916.40
  6. Step 6: Final answer
    x = 317,958.13

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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.