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Finding the Fourth Proportional to 208,438.63, 312,658.07 and 146,386.15

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Solution

The fourth proportional to 208,438.63, 312,658.07 and 146,386.15 is: 219,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.63 : 312,658.07 = 146,386.15 : x
  2. Step 2: Convert to fraction form
    208,438.63/312,658.07 = 146,386.15/x
  3. Step 3: Cross multiply
    208,438.63x = 312,658.07 × 146,386.15
  4. Step 4: Simplify right side
    208,438.63x = 45,768,811,133.73
  5. Step 5: Solve for x
    x = 45,768,811,133.73/208,438.63
  6. Step 6: Final answer
    x = 219,579.31

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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.