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Finding the Fourth Proportional to 621,564.96, 930,342.40 and 321,632.80

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Solution

The fourth proportional to 621,564.96, 930,342.40 and 321,632.80 is: 481,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,564.96 : 930,342.40 = 321,632.80 : x
  2. Step 2: Convert to fraction form
    621,564.96/930,342.40 = 321,632.80/x
  3. Step 3: Cross multiply
    621,564.96x = 930,342.40 × 321,632.80
  4. Step 4: Simplify right side
    621,564.96x = 299,228,631,070.72
  5. Step 5: Solve for x
    x = 299,228,631,070.72/621,564.96
  6. Step 6: Final answer
    x = 481,411.68

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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.