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Finding the Fourth Proportional to 437,766.40, 656,649.60 and 171,438.40

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Solution

The fourth proportional to 437,766.40, 656,649.60 and 171,438.40 is: 257,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,766.40 : 656,649.60 = 171,438.40 : x
  2. Step 2: Convert to fraction form
    437,766.40/656,649.60 = 171,438.40/x
  3. Step 3: Cross multiply
    437,766.40x = 656,649.60 × 171,438.40
  4. Step 4: Simplify right side
    437,766.40x = 112,574,956,784.64
  5. Step 5: Solve for x
    x = 112,574,956,784.64/437,766.40
  6. Step 6: Final answer
    x = 257,157.60

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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.