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Finding the Fourth Proportional to 302,942.70, 455,398.20 and 259,640.10

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Solution

The fourth proportional to 302,942.70, 455,398.20 and 259,640.10 is: 390,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,942.70 : 455,398.20 = 259,640.10 : x
  2. Step 2: Convert to fraction form
    302,942.70/455,398.20 = 259,640.10/x
  3. Step 3: Cross multiply
    302,942.70x = 455,398.20 × 259,640.10
  4. Step 4: Simplify right side
    302,942.70x = 118,239,634,187.82
  5. Step 5: Solve for x
    x = 118,239,634,187.82/302,942.70
  6. Step 6: Final answer
    x = 390,303.63

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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.