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Finding the Fourth Proportional to 302,709.40, 417,739.02 and 175,458.80

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Solution

The fourth proportional to 302,709.40, 417,739.02 and 175,458.80 is: 242,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,709.40 : 417,739.02 = 175,458.80 : x
  2. Step 2: Convert to fraction form
    302,709.40/417,739.02 = 175,458.80/x
  3. Step 3: Cross multiply
    302,709.40x = 417,739.02 × 175,458.80
  4. Step 4: Simplify right side
    302,709.40x = 73,295,987,162.38
  5. Step 5: Solve for x
    x = 73,295,987,162.38/302,709.40
  6. Step 6: Final answer
    x = 242,133.17

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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.