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Finding the Fourth Proportional to 468,421.80, 646,422.24 and 253,561.20

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Solution

The fourth proportional to 468,421.80, 646,422.24 and 253,561.20 is: 349,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,421.80 : 646,422.24 = 253,561.20 : x
  2. Step 2: Convert to fraction form
    468,421.80/646,422.24 = 253,561.20/x
  3. Step 3: Cross multiply
    468,421.80x = 646,422.24 × 253,561.20
  4. Step 4: Simplify right side
    468,421.80x = 163,907,598,881.09
  5. Step 5: Solve for x
    x = 163,907,598,881.09/468,421.80
  6. Step 6: Final answer
    x = 349,914.54

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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.