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Finding the Fourth Proportional to 257,307.87, 385,999.02 and 97,340.43

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Solution

The fourth proportional to 257,307.87, 385,999.02 and 97,340.43 is: 146,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,307.87 : 385,999.02 = 97,340.43 : x
  2. Step 2: Convert to fraction form
    257,307.87/385,999.02 = 97,340.43/x
  3. Step 3: Cross multiply
    257,307.87x = 385,999.02 × 97,340.43
  4. Step 4: Simplify right side
    257,307.87x = 37,573,312,033.87
  5. Step 5: Solve for x
    x = 37,573,312,033.87/257,307.87
  6. Step 6: Final answer
    x = 146,024.73

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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.