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Finding the Fourth Proportional to 405,689.80, 608,405.10 and 168,975.40

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Solution

The fourth proportional to 405,689.80, 608,405.10 and 168,975.40 is: 253,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,689.80 : 608,405.10 = 168,975.40 : x
  2. Step 2: Convert to fraction form
    405,689.80/608,405.10 = 168,975.40/x
  3. Step 3: Cross multiply
    405,689.80x = 608,405.10 × 168,975.40
  4. Step 4: Simplify right side
    405,689.80x = 102,805,495,134.54
  5. Step 5: Solve for x
    x = 102,805,495,134.54/405,689.80
  6. Step 6: Final answer
    x = 253,409.12

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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.