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Finding the Fourth Proportional to 402,164.64, 554,988.24 and 223,316.64

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Solution

The fourth proportional to 402,164.64, 554,988.24 and 223,316.64 is: 308,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,164.64 : 554,988.24 = 223,316.64 : x
  2. Step 2: Convert to fraction form
    402,164.64/554,988.24 = 223,316.64/x
  3. Step 3: Cross multiply
    402,164.64x = 554,988.24 × 223,316.64
  4. Step 4: Simplify right side
    402,164.64x = 123,938,108,996.31
  5. Step 5: Solve for x
    x = 123,938,108,996.31/402,164.64
  6. Step 6: Final answer
    x = 308,177.54

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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.