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Finding the Fourth Proportional to 431,814.87, 596,145.42 and 303,148.17

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Solution

The fourth proportional to 431,814.87, 596,145.42 and 303,148.17 is: 418,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,814.87 : 596,145.42 = 303,148.17 : x
  2. Step 2: Convert to fraction form
    431,814.87/596,145.42 = 303,148.17/x
  3. Step 3: Cross multiply
    431,814.87x = 596,145.42 × 303,148.17
  4. Step 4: Simplify right side
    431,814.87x = 180,720,393,126.88
  5. Step 5: Solve for x
    x = 180,720,393,126.88/431,814.87
  6. Step 6: Final answer
    x = 418,513.59

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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.