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Finding the Fourth Proportional to 645,146.65, 890,359.10 and 354,809.37

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Solution

The fourth proportional to 645,146.65, 890,359.10 and 354,809.37 is: 489,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,146.65 : 890,359.10 = 354,809.37 : x
  2. Step 2: Convert to fraction form
    645,146.65/890,359.10 = 354,809.37/x
  3. Step 3: Cross multiply
    645,146.65x = 890,359.10 × 354,809.37
  4. Step 4: Simplify right side
    645,146.65x = 315,907,751,344.77
  5. Step 5: Solve for x
    x = 315,907,751,344.77/645,146.65
  6. Step 6: Final answer
    x = 489,668.13

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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.