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Finding the Fourth Proportional to 714,732.55, 986,363.09 and 428,246.48

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Solution

The fourth proportional to 714,732.55, 986,363.09 and 428,246.48 is: 590,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,732.55 : 986,363.09 = 428,246.48 : x
  2. Step 2: Convert to fraction form
    714,732.55/986,363.09 = 428,246.48/x
  3. Step 3: Cross multiply
    714,732.55x = 986,363.09 × 428,246.48
  4. Step 4: Simplify right side
    714,732.55x = 422,406,523,225.02
  5. Step 5: Solve for x
    x = 422,406,523,225.02/714,732.55
  6. Step 6: Final answer
    x = 590,999.42

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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.