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Finding the Fourth Proportional to 431,515.21, 595,387.42 and 278,521

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Solution

The fourth proportional to 431,515.21, 595,387.42 and 278,521 is: 384,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,515.21 : 595,387.42 = 278,521 : x
  2. Step 2: Convert to fraction form
    431,515.21/595,387.42 = 278,521/x
  3. Step 3: Cross multiply
    431,515.21x = 595,387.42 × 278,521
  4. Step 4: Simplify right side
    431,515.21x = 165,827,899,605.82
  5. Step 5: Solve for x
    x = 165,827,899,605.82/431,515.21
  6. Step 6: Final answer
    x = 384,292.13

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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.