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Finding the Fourth Proportional to 497,277.89, 745,911.33 and 297,654

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Solution

The fourth proportional to 497,277.89, 745,911.33 and 297,654 is: 446,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,277.89 : 745,911.33 = 297,654 : x
  2. Step 2: Convert to fraction form
    497,277.89/745,911.33 = 297,654/x
  3. Step 3: Cross multiply
    497,277.89x = 745,911.33 × 297,654
  4. Step 4: Simplify right side
    497,277.89x = 222,023,491,019.82
  5. Step 5: Solve for x
    x = 222,023,491,019.82/497,277.89
  6. Step 6: Final answer
    x = 446,477.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.