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Finding the Fourth Proportional to 305,514.70, 458,272.05 and 266,148.70

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Solution

The fourth proportional to 305,514.70, 458,272.05 and 266,148.70 is: 399,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,514.70 : 458,272.05 = 266,148.70 : x
  2. Step 2: Convert to fraction form
    305,514.70/458,272.05 = 266,148.70/x
  3. Step 3: Cross multiply
    305,514.70x = 458,272.05 × 266,148.70
  4. Step 4: Simplify right side
    305,514.70x = 121,968,510,353.84
  5. Step 5: Solve for x
    x = 121,968,510,353.84/305,514.70
  6. Step 6: Final answer
    x = 399,223.05

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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.