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Finding the Fourth Proportional to 406,002.80, 608,485.80 and 312,042.80

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Solution

The fourth proportional to 406,002.80, 608,485.80 and 312,042.80 is: 467,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,002.80 : 608,485.80 = 312,042.80 : x
  2. Step 2: Convert to fraction form
    406,002.80/608,485.80 = 312,042.80/x
  3. Step 3: Cross multiply
    406,002.80x = 608,485.80 × 312,042.80
  4. Step 4: Simplify right side
    406,002.80x = 189,873,612,792.24
  5. Step 5: Solve for x
    x = 189,873,612,792.24/406,002.80
  6. Step 6: Final answer
    x = 467,665.77

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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.