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Finding the Fourth Proportional to 645,462, 890,732.60 and 355,067.30

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Solution

The fourth proportional to 645,462, 890,732.60 and 355,067.30 is: 489,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,462 : 890,732.60 = 355,067.30 : x
  2. Step 2: Convert to fraction form
    645,462/890,732.60 = 355,067.30/x
  3. Step 3: Cross multiply
    645,462x = 890,732.60 × 355,067.30
  4. Step 4: Simplify right side
    645,462x = 316,270,019,303.98
  5. Step 5: Solve for x
    x = 316,270,019,303.98/645,462
  6. Step 6: Final answer
    x = 489,990.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.