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Finding the Fourth Proportional to 287,438.20, 431,157.30 and 274,535.80

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Solution

The fourth proportional to 287,438.20, 431,157.30 and 274,535.80 is: 411,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,438.20 : 431,157.30 = 274,535.80 : x
  2. Step 2: Convert to fraction form
    287,438.20/431,157.30 = 274,535.80/x
  3. Step 3: Cross multiply
    287,438.20x = 431,157.30 × 274,535.80
  4. Step 4: Simplify right side
    287,438.20x = 118,368,114,281.34
  5. Step 5: Solve for x
    x = 118,368,114,281.34/287,438.20
  6. Step 6: Final answer
    x = 411,803.70

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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.