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Finding the Fourth Proportional to 300,802.07, 415,106.87 and 166,666.07

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Solution

The fourth proportional to 300,802.07, 415,106.87 and 166,666.07 is: 229,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,802.07 : 415,106.87 = 166,666.07 : x
  2. Step 2: Convert to fraction form
    300,802.07/415,106.87 = 166,666.07/x
  3. Step 3: Cross multiply
    300,802.07x = 415,106.87 × 166,666.07
  4. Step 4: Simplify right side
    300,802.07x = 69,184,229,819.57
  5. Step 5: Solve for x
    x = 69,184,229,819.57/300,802.07
  6. Step 6: Final answer
    x = 229,999.18

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1.5x scale

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.