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Finding the Fourth Proportional to 442,955.80, 611,066.46 and 289,926.64

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Solution

The fourth proportional to 442,955.80, 611,066.46 and 289,926.64 is: 399,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,955.80 : 611,066.46 = 289,926.64 : x
  2. Step 2: Convert to fraction form
    442,955.80/611,066.46 = 289,926.64/x
  3. Step 3: Cross multiply
    442,955.80x = 611,066.46 × 289,926.64
  4. Step 4: Simplify right side
    442,955.80x = 177,164,445,564.49
  5. Step 5: Solve for x
    x = 177,164,445,564.49/442,955.80
  6. Step 6: Final answer
    x = 399,959.65

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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.