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Finding the Fourth Proportional to 405,968.30, 608,952.45 and 389,638.70

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Solution

The fourth proportional to 405,968.30, 608,952.45 and 389,638.70 is: 584,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,968.30 : 608,952.45 = 389,638.70 : x
  2. Step 2: Convert to fraction form
    405,968.30/608,952.45 = 389,638.70/x
  3. Step 3: Cross multiply
    405,968.30x = 608,952.45 × 389,638.70
  4. Step 4: Simplify right side
    405,968.30x = 237,271,440,979.82
  5. Step 5: Solve for x
    x = 237,271,440,979.82/405,968.30
  6. Step 6: Final answer
    x = 584,458.05

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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.