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Finding the Fourth Proportional to 302,323.30, 453,055.70 and 142,338.78

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Solution

The fourth proportional to 302,323.30, 453,055.70 and 142,338.78 is: 213,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,323.30 : 453,055.70 = 142,338.78 : x
  2. Step 2: Convert to fraction form
    302,323.30/453,055.70 = 142,338.78/x
  3. Step 3: Cross multiply
    302,323.30x = 453,055.70 × 142,338.78
  4. Step 4: Simplify right side
    302,323.30x = 64,487,395,610.05
  5. Step 5: Solve for x
    x = 64,487,395,610.05/302,323.30
  6. Step 6: Final answer
    x = 213,306.07

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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.