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Finding the Fourth Proportional to 305,135.10, 457,593.30 and 155,325.60

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Solution

The fourth proportional to 305,135.10, 457,593.30 and 155,325.60 is: 232,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,135.10 : 457,593.30 = 155,325.60 : x
  2. Step 2: Convert to fraction form
    305,135.10/457,593.30 = 155,325.60/x
  3. Step 3: Cross multiply
    305,135.10x = 457,593.30 × 155,325.60
  4. Step 4: Simplify right side
    305,135.10x = 71,075,953,878.48
  5. Step 5: Solve for x
    x = 71,075,953,878.48/305,135.10
  6. Step 6: Final answer
    x = 232,932.74

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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.