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Finding the Fourth Proportional to 641,212.70, 884,714.55 and 414,585.50

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Solution

The fourth proportional to 641,212.70, 884,714.55 and 414,585.50 is: 572,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,212.70 : 884,714.55 = 414,585.50 : x
  2. Step 2: Convert to fraction form
    641,212.70/884,714.55 = 414,585.50/x
  3. Step 3: Cross multiply
    641,212.70x = 884,714.55 × 414,585.50
  4. Step 4: Simplify right side
    641,212.70x = 366,789,824,069.03
  5. Step 5: Solve for x
    x = 366,789,824,069.03/641,212.70
  6. Step 6: Final answer
    x = 572,025.20

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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.