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Finding the Fourth Proportional to 321,416.88, 482,140.70 and 265,152.66

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Solution

The fourth proportional to 321,416.88, 482,140.70 and 265,152.66 is: 397,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.88 : 482,140.70 = 265,152.66 : x
  2. Step 2: Convert to fraction form
    321,416.88/482,140.70 = 265,152.66/x
  3. Step 3: Cross multiply
    321,416.88x = 482,140.70 × 265,152.66
  4. Step 4: Simplify right side
    321,416.88x = 127,840,888,270.66
  5. Step 5: Solve for x
    x = 127,840,888,270.66/321,416.88
  6. Step 6: Final answer
    x = 397,741.68

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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.