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Finding the Fourth Proportional to 289,392.50, 433,982.13 and 99,804.20

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Solution

The fourth proportional to 289,392.50, 433,982.13 and 99,804.20 is: 149,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,392.50 : 433,982.13 = 99,804.20 : x
  2. Step 2: Convert to fraction form
    289,392.50/433,982.13 = 99,804.20/x
  3. Step 3: Cross multiply
    289,392.50x = 433,982.13 × 99,804.20
  4. Step 4: Simplify right side
    289,392.50x = 43,313,237,129.04
  5. Step 5: Solve for x
    x = 43,313,237,129.04/289,392.50
  6. Step 6: Final answer
    x = 149,669.52

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1.5x scale

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.