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Finding the Fourth Proportional to 402,223.28, 555,052.92 and 223,386.80

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Solution

The fourth proportional to 402,223.28, 555,052.92 and 223,386.80 is: 308,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,223.28 : 555,052.92 = 223,386.80 : x
  2. Step 2: Convert to fraction form
    402,223.28/555,052.92 = 223,386.80/x
  3. Step 3: Cross multiply
    402,223.28x = 555,052.92 × 223,386.80
  4. Step 4: Simplify right side
    402,223.28x = 123,991,495,629.46
  5. Step 5: Solve for x
    x = 123,991,495,629.46/402,223.28
  6. Step 6: Final answer
    x = 308,265.34

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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.