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Finding the Fourth Proportional to 321,803.12, 482,782.71 and 97,150.14

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Solution

The fourth proportional to 321,803.12, 482,782.71 and 97,150.14 is: 145,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,803.12 : 482,782.71 = 97,150.14 : x
  2. Step 2: Convert to fraction form
    321,803.12/482,782.71 = 97,150.14/x
  3. Step 3: Cross multiply
    321,803.12x = 482,782.71 × 97,150.14
  4. Step 4: Simplify right side
    321,803.12x = 46,902,407,866.08
  5. Step 5: Solve for x
    x = 46,902,407,866.08/321,803.12
  6. Step 6: Final answer
    x = 145,748.77

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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.