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Finding the Fourth Proportional to 309,176.21, 462,730.95 and 176,020.72

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Solution

The fourth proportional to 309,176.21, 462,730.95 and 176,020.72 is: 263,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,176.21 : 462,730.95 = 176,020.72 : x
  2. Step 2: Convert to fraction form
    309,176.21/462,730.95 = 176,020.72/x
  3. Step 3: Cross multiply
    309,176.21x = 462,730.95 × 176,020.72
  4. Step 4: Simplify right side
    309,176.21x = 81,450,233,828.46
  5. Step 5: Solve for x
    x = 81,450,233,828.46/309,176.21
  6. Step 6: Final answer
    x = 263,442.76

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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.