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Finding the Fourth Proportional to 305,415.90, 458,998.65 and 266,924.70

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Solution

The fourth proportional to 305,415.90, 458,998.65 and 266,924.70 is: 401,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,415.90 : 458,998.65 = 266,924.70 : x
  2. Step 2: Convert to fraction form
    305,415.90/458,998.65 = 266,924.70/x
  3. Step 3: Cross multiply
    305,415.90x = 458,998.65 × 266,924.70
  4. Step 4: Simplify right side
    305,415.90x = 122,518,076,951.66
  5. Step 5: Solve for x
    x = 122,518,076,951.66/305,415.90
  6. Step 6: Final answer
    x = 401,151.60

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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.