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Finding the Fourth Proportional to 557,651.68, 769,564 and 303,002.86

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Solution

The fourth proportional to 557,651.68, 769,564 and 303,002.86 is: 418,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,651.68 : 769,564 = 303,002.86 : x
  2. Step 2: Convert to fraction form
    557,651.68/769,564 = 303,002.86/x
  3. Step 3: Cross multiply
    557,651.68x = 769,564 × 303,002.86
  4. Step 4: Simplify right side
    557,651.68x = 233,180,092,953.04
  5. Step 5: Solve for x
    x = 233,180,092,953.04/557,651.68
  6. Step 6: Final answer
    x = 418,146.49

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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.