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Finding the Fourth Proportional to 309,040.40, 462,869.40 and 302,128.40

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Solution

The fourth proportional to 309,040.40, 462,869.40 and 302,128.40 is: 452,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,040.40 : 462,869.40 = 302,128.40 : x
  2. Step 2: Convert to fraction form
    309,040.40/462,869.40 = 302,128.40/x
  3. Step 3: Cross multiply
    309,040.40x = 462,869.40 × 302,128.40
  4. Step 4: Simplify right side
    309,040.40x = 139,845,991,230.96
  5. Step 5: Solve for x
    x = 139,845,991,230.96/309,040.40
  6. Step 6: Final answer
    x = 452,516.86

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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.