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Finding the Fourth Proportional to 497,466.36, 686,505.86 and 282,618.21

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Solution

The fourth proportional to 497,466.36, 686,505.86 and 282,618.21 is: 390,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,466.36 : 686,505.86 = 282,618.21 : x
  2. Step 2: Convert to fraction form
    497,466.36/686,505.86 = 282,618.21/x
  3. Step 3: Cross multiply
    497,466.36x = 686,505.86 × 282,618.21
  4. Step 4: Simplify right side
    497,466.36x = 194,019,057,307.71
  5. Step 5: Solve for x
    x = 194,019,057,307.71/497,466.36
  6. Step 6: Final answer
    x = 390,014.43

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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.