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Finding the Fourth Proportional to 435,378.87, 653,320.53 and 182,637

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Solution

The fourth proportional to 435,378.87, 653,320.53 and 182,637 is: 274,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,378.87 : 653,320.53 = 182,637 : x
  2. Step 2: Convert to fraction form
    435,378.87/653,320.53 = 182,637/x
  3. Step 3: Cross multiply
    435,378.87x = 653,320.53 × 182,637
  4. Step 4: Simplify right side
    435,378.87x = 119,320,501,637.61
  5. Step 5: Solve for x
    x = 119,320,501,637.61/435,378.87
  6. Step 6: Final answer
    x = 274,061.31

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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.