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Finding the Fourth Proportional to 409,032.63, 613,576.95 and 139,050.89

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Solution

The fourth proportional to 409,032.63, 613,576.95 and 139,050.89 is: 208,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,032.63 : 613,576.95 = 139,050.89 : x
  2. Step 2: Convert to fraction form
    409,032.63/613,576.95 = 139,050.89/x
  3. Step 3: Cross multiply
    409,032.63x = 613,576.95 × 139,050.89
  4. Step 4: Simplify right side
    409,032.63x = 85,318,420,980.99
  5. Step 5: Solve for x
    x = 85,318,420,980.99/409,032.63
  6. Step 6: Final answer
    x = 208,585.86

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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.