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Finding the Fourth Proportional to 451,476.84, 623,058.26 and 257,901.40

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Solution

The fourth proportional to 451,476.84, 623,058.26 and 257,901.40 is: 355,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,476.84 : 623,058.26 = 257,901.40 : x
  2. Step 2: Convert to fraction form
    451,476.84/623,058.26 = 257,901.40/x
  3. Step 3: Cross multiply
    451,476.84x = 623,058.26 × 257,901.40
  4. Step 4: Simplify right side
    451,476.84x = 160,687,597,535.56
  5. Step 5: Solve for x
    x = 160,687,597,535.56/451,476.84
  6. Step 6: Final answer
    x = 355,915.48

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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.