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Finding the Fourth Proportional to 421,436.49, 581,639.37 and 237,712.78

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Solution

The fourth proportional to 421,436.49, 581,639.37 and 237,712.78 is: 328,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,436.49 : 581,639.37 = 237,712.78 : x
  2. Step 2: Convert to fraction form
    421,436.49/581,639.37 = 237,712.78/x
  3. Step 3: Cross multiply
    421,436.49x = 581,639.37 × 237,712.78
  4. Step 4: Simplify right side
    421,436.49x = 138,263,109,166.90
  5. Step 5: Solve for x
    x = 138,263,109,166.90/421,436.49
  6. Step 6: Final answer
    x = 328,075.79

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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.