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Finding the Fourth Proportional to 438,307.20, 657,460.80 and 171,930.60

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Solution

The fourth proportional to 438,307.20, 657,460.80 and 171,930.60 is: 257,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,307.20 : 657,460.80 = 171,930.60 : x
  2. Step 2: Convert to fraction form
    438,307.20/657,460.80 = 171,930.60/x
  3. Step 3: Cross multiply
    438,307.20x = 657,460.80 × 171,930.60
  4. Step 4: Simplify right side
    438,307.20x = 113,037,629,820.48
  5. Step 5: Solve for x
    x = 113,037,629,820.48/438,307.20
  6. Step 6: Final answer
    x = 257,895.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.