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Finding the Fourth Proportional to 305,476.01, 458,549.21 and 242,699.66

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Solution

The fourth proportional to 305,476.01, 458,549.21 and 242,699.66 is: 364,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,476.01 : 458,549.21 = 242,699.66 : x
  2. Step 2: Convert to fraction form
    305,476.01/458,549.21 = 242,699.66/x
  3. Step 3: Cross multiply
    305,476.01x = 458,549.21 × 242,699.66
  4. Step 4: Simplify right side
    305,476.01x = 111,289,735,674.27
  5. Step 5: Solve for x
    x = 111,289,735,674.27/305,476.01
  6. Step 6: Final answer
    x = 364,315.80

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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.