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Finding the Fourth Proportional to 330,655.86, 455,876.80 and 214,162.08

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Solution

The fourth proportional to 330,655.86, 455,876.80 and 214,162.08 is: 295,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,655.86 : 455,876.80 = 214,162.08 : x
  2. Step 2: Convert to fraction form
    330,655.86/455,876.80 = 214,162.08/x
  3. Step 3: Cross multiply
    330,655.86x = 455,876.80 × 214,162.08
  4. Step 4: Simplify right side
    330,655.86x = 97,631,523,711.74
  5. Step 5: Solve for x
    x = 97,631,523,711.74/330,655.86
  6. Step 6: Final answer
    x = 295,266.27

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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.