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Finding the Fourth Proportional to 427,017.12, 589,306.32 and 245,756.64

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Solution

The fourth proportional to 427,017.12, 589,306.32 and 245,756.64 is: 339,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,017.12 : 589,306.32 = 245,756.64 : x
  2. Step 2: Convert to fraction form
    427,017.12/589,306.32 = 245,756.64/x
  3. Step 3: Cross multiply
    427,017.12x = 589,306.32 × 245,756.64
  4. Step 4: Simplify right side
    427,017.12x = 144,825,941,133.97
  5. Step 5: Solve for x
    x = 144,825,941,133.97/427,017.12
  6. Step 6: Final answer
    x = 339,157.22

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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.