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Finding the Fourth Proportional to 257,433.90, 355,200.84 and 155,475.96

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Solution

The fourth proportional to 257,433.90, 355,200.84 and 155,475.96 is: 214,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,433.90 : 355,200.84 = 155,475.96 : x
  2. Step 2: Convert to fraction form
    257,433.90/355,200.84 = 155,475.96/x
  3. Step 3: Cross multiply
    257,433.90x = 355,200.84 × 155,475.96
  4. Step 4: Simplify right side
    257,433.90x = 55,225,191,591.81
  5. Step 5: Solve for x
    x = 55,225,191,591.81/257,433.90
  6. Step 6: Final answer
    x = 214,521.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.