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Finding the Fourth Proportional to 415,428.70, 623,143.05 and 257,143.90

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Solution

The fourth proportional to 415,428.70, 623,143.05 and 257,143.90 is: 385,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428.70 : 623,143.05 = 257,143.90 : x
  2. Step 2: Convert to fraction form
    415,428.70/623,143.05 = 257,143.90/x
  3. Step 3: Cross multiply
    415,428.70x = 623,143.05 × 257,143.90
  4. Step 4: Simplify right side
    415,428.70x = 160,237,434,134.90
  5. Step 5: Solve for x
    x = 160,237,434,134.90/415,428.70
  6. Step 6: Final answer
    x = 385,715.85

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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.