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Finding the Fourth Proportional to 413,988.40, 621,128.40 and 203,485.60

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Solution

The fourth proportional to 413,988.40, 621,128.40 and 203,485.60 is: 305,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,988.40 : 621,128.40 = 203,485.60 : x
  2. Step 2: Convert to fraction form
    413,988.40/621,128.40 = 203,485.60/x
  3. Step 3: Cross multiply
    413,988.40x = 621,128.40 × 203,485.60
  4. Step 4: Simplify right side
    413,988.40x = 126,390,685,151.04
  5. Step 5: Solve for x
    x = 126,390,685,151.04/413,988.40
  6. Step 6: Final answer
    x = 305,300.06

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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.