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Finding the Fourth Proportional to 254,756.40, 382,285.80 and 97,000.80

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Solution

The fourth proportional to 254,756.40, 382,285.80 and 97,000.80 is: 145,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,756.40 : 382,285.80 = 97,000.80 : x
  2. Step 2: Convert to fraction form
    254,756.40/382,285.80 = 97,000.80/x
  3. Step 3: Cross multiply
    254,756.40x = 382,285.80 × 97,000.80
  4. Step 4: Simplify right side
    254,756.40x = 37,082,028,428.64
  5. Step 5: Solve for x
    x = 37,082,028,428.64/254,756.40
  6. Step 6: Final answer
    x = 145,558.77

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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.