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Finding the Fourth Proportional to 431,864.16, 643,363.95 and 412,433.42

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Solution

The fourth proportional to 431,864.16, 643,363.95 and 412,433.42 is: 614,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,864.16 : 643,363.95 = 412,433.42 : x
  2. Step 2: Convert to fraction form
    431,864.16/643,363.95 = 412,433.42/x
  3. Step 3: Cross multiply
    431,864.16x = 643,363.95 × 412,433.42
  4. Step 4: Simplify right side
    431,864.16x = 265,344,794,203.21
  5. Step 5: Solve for x
    x = 265,344,794,203.21/431,864.16
  6. Step 6: Final answer
    x = 614,417.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.