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Finding the Fourth Proportional to 512,654.72, 702,325.26 and 493,487.40

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Solution

The fourth proportional to 512,654.72, 702,325.26 and 493,487.40 is: 676,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,654.72 : 702,325.26 = 493,487.40 : x
  2. Step 2: Convert to fraction form
    512,654.72/702,325.26 = 493,487.40/x
  3. Step 3: Cross multiply
    512,654.72x = 702,325.26 × 493,487.40
  4. Step 4: Simplify right side
    512,654.72x = 346,588,666,511.72
  5. Step 5: Solve for x
    x = 346,588,666,511.72/512,654.72
  6. Step 6: Final answer
    x = 676,066.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.