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Finding the Fourth Proportional to 446,021.40, 669,809.70 and 432,024.60

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Solution

The fourth proportional to 446,021.40, 669,809.70 and 432,024.60 is: 648,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,021.40 : 669,809.70 = 432,024.60 : x
  2. Step 2: Convert to fraction form
    446,021.40/669,809.70 = 432,024.60/x
  3. Step 3: Cross multiply
    446,021.40x = 669,809.70 × 432,024.60
  4. Step 4: Simplify right side
    446,021.40x = 289,374,267,718.62
  5. Step 5: Solve for x
    x = 289,374,267,718.62/446,021.40
  6. Step 6: Final answer
    x = 648,790.10

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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.