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Finding the Fourth Proportional to 310,212.90, 465,428.70 and 299,277.90

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Solution

The fourth proportional to 310,212.90, 465,428.70 and 299,277.90 is: 449,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,212.90 : 465,428.70 = 299,277.90 : x
  2. Step 2: Convert to fraction form
    310,212.90/465,428.70 = 299,277.90/x
  3. Step 3: Cross multiply
    310,212.90x = 465,428.70 × 299,277.90
  4. Step 4: Simplify right side
    310,212.90x = 139,292,523,935.73
  5. Step 5: Solve for x
    x = 139,292,523,935.73/310,212.90
  6. Step 6: Final answer
    x = 449,022.35

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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.