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Finding the Fourth Proportional to 497,018.76, 745,747.56 and 385,666.44

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Solution

The fourth proportional to 497,018.76, 745,747.56 and 385,666.44 is: 578,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,018.76 : 745,747.56 = 385,666.44 : x
  2. Step 2: Convert to fraction form
    497,018.76/745,747.56 = 385,666.44/x
  3. Step 3: Cross multiply
    497,018.76x = 745,747.56 × 385,666.44
  4. Step 4: Simplify right side
    497,018.76x = 287,609,806,603.89
  5. Step 5: Solve for x
    x = 287,609,806,603.89/497,018.76
  6. Step 6: Final answer
    x = 578,669.92

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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.