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Finding the Fourth Proportional to 302,953.48, 418,056.93 and 166,988.50

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Solution

The fourth proportional to 302,953.48, 418,056.93 and 166,988.50 is: 230,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,953.48 : 418,056.93 = 166,988.50 : x
  2. Step 2: Convert to fraction form
    302,953.48/418,056.93 = 166,988.50/x
  3. Step 3: Cross multiply
    302,953.48x = 418,056.93 × 166,988.50
  4. Step 4: Simplify right side
    302,953.48x = 69,810,698,610.16
  5. Step 5: Solve for x
    x = 69,810,698,610.16/302,953.48
  6. Step 6: Final answer
    x = 230,433.73

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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.