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Finding the Fourth Proportional to 458,994.75, 633,472.16 and 257,790.75

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Solution

The fourth proportional to 458,994.75, 633,472.16 and 257,790.75 is: 355,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,994.75 : 633,472.16 = 257,790.75 : x
  2. Step 2: Convert to fraction form
    458,994.75/633,472.16 = 257,790.75/x
  3. Step 3: Cross multiply
    458,994.75x = 633,472.16 × 257,790.75
  4. Step 4: Simplify right side
    458,994.75x = 163,303,261,941.57
  5. Step 5: Solve for x
    x = 163,303,261,941.57/458,994.75
  6. Step 6: Final answer
    x = 355,784.60

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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.