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Finding the Fourth Proportional to 458,706, 633,014.64 and 257,566.80

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Solution

The fourth proportional to 458,706, 633,014.64 and 257,566.80 is: 355,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,706 : 633,014.64 = 257,566.80 : x
  2. Step 2: Convert to fraction form
    458,706/633,014.64 = 257,566.80/x
  3. Step 3: Cross multiply
    458,706x = 633,014.64 × 257,566.80
  4. Step 4: Simplify right side
    458,706x = 163,043,555,177.95
  5. Step 5: Solve for x
    x = 163,043,555,177.95/458,706
  6. Step 6: Final answer
    x = 355,442.39

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1.5x scale

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.