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Finding the Fourth Proportional to 310,296.90, 465,554.70 and 299,361.90

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Solution

The fourth proportional to 310,296.90, 465,554.70 and 299,361.90 is: 449,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296.90 : 465,554.70 = 299,361.90 : x
  2. Step 2: Convert to fraction form
    310,296.90/465,554.70 = 299,361.90/x
  3. Step 3: Cross multiply
    310,296.90x = 465,554.70 × 299,361.90
  4. Step 4: Simplify right side
    310,296.90x = 139,369,339,545.93
  5. Step 5: Solve for x
    x = 139,369,339,545.93/310,296.90
  6. Step 6: Final answer
    x = 449,148.35

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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.