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Finding the Fourth Proportional to 405,992.90, 608,730.15 and 169,429.70

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Solution

The fourth proportional to 405,992.90, 608,730.15 and 169,429.70 is: 254,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,992.90 : 608,730.15 = 169,429.70 : x
  2. Step 2: Convert to fraction form
    405,992.90/608,730.15 = 169,429.70/x
  3. Step 3: Cross multiply
    405,992.90x = 608,730.15 × 169,429.70
  4. Step 4: Simplify right side
    405,992.90x = 103,136,966,695.46
  5. Step 5: Solve for x
    x = 103,136,966,695.46/405,992.90
  6. Step 6: Final answer
    x = 254,036.38

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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.