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Finding the Fourth Proportional to 430,671.14, 646,142.48 and 202,957.57

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Solution

The fourth proportional to 430,671.14, 646,142.48 and 202,957.57 is: 304,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,671.14 : 646,142.48 = 202,957.57 : x
  2. Step 2: Convert to fraction form
    430,671.14/646,142.48 = 202,957.57/x
  3. Step 3: Cross multiply
    430,671.14x = 646,142.48 × 202,957.57
  4. Step 4: Simplify right side
    430,671.14x = 131,139,505,675.64
  5. Step 5: Solve for x
    x = 131,139,505,675.64/430,671.14
  6. Step 6: Final answer
    x = 304,500.33

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1.5x scale

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.