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Finding the Fourth Proportional to 461,870.63, 637,344.73 and 257,909.37

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Solution

The fourth proportional to 461,870.63, 637,344.73 and 257,909.37 is: 355,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,870.63 : 637,344.73 = 257,909.37 : x
  2. Step 2: Convert to fraction form
    461,870.63/637,344.73 = 257,909.37/x
  3. Step 3: Cross multiply
    461,870.63x = 637,344.73 × 257,909.37
  4. Step 4: Simplify right side
    461,870.63x = 164,377,177,142.35
  5. Step 5: Solve for x
    x = 164,377,177,142.35/461,870.63
  6. Step 6: Final answer
    x = 355,894.42

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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.