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Finding the Fourth Proportional to 302,430.87, 417,351.33 and 166,461.89

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Solution

The fourth proportional to 302,430.87, 417,351.33 and 166,461.89 is: 229,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,430.87 : 417,351.33 = 166,461.89 : x
  2. Step 2: Convert to fraction form
    302,430.87/417,351.33 = 166,461.89/x
  3. Step 3: Cross multiply
    302,430.87x = 417,351.33 × 166,461.89
  4. Step 4: Simplify right side
    302,430.87x = 69,473,089,099.06
  5. Step 5: Solve for x
    x = 69,473,089,099.06/302,430.87
  6. Step 6: Final answer
    x = 229,715.60

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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.