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Finding the Fourth Proportional to 497,476.56, 686,520 and 282,628.44

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Solution

The fourth proportional to 497,476.56, 686,520 and 282,628.44 is: 390,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,476.56 : 686,520 = 282,628.44 : x
  2. Step 2: Convert to fraction form
    497,476.56/686,520 = 282,628.44/x
  3. Step 3: Cross multiply
    497,476.56x = 686,520 × 282,628.44
  4. Step 4: Simplify right side
    497,476.56x = 194,030,076,628.80
  5. Step 5: Solve for x
    x = 194,030,076,628.80/497,476.56
  6. Step 6: Final answer
    x = 390,028.58

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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.