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Finding the Fourth Proportional to 397,427.40, 595,266.30 and 278,454.60

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Solution

The fourth proportional to 397,427.40, 595,266.30 and 278,454.60 is: 417,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,427.40 : 595,266.30 = 278,454.60 : x
  2. Step 2: Convert to fraction form
    397,427.40/595,266.30 = 278,454.60/x
  3. Step 3: Cross multiply
    397,427.40x = 595,266.30 × 278,454.60
  4. Step 4: Simplify right side
    397,427.40x = 165,754,639,459.98
  5. Step 5: Solve for x
    x = 165,754,639,459.98/397,427.40
  6. Step 6: Final answer
    x = 417,068.98

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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.