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Finding the Fourth Proportional to 283,957.20, 425,935.80 and 213,098.40

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Solution

The fourth proportional to 283,957.20, 425,935.80 and 213,098.40 is: 319,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,957.20 : 425,935.80 = 213,098.40 : x
  2. Step 2: Convert to fraction form
    283,957.20/425,935.80 = 213,098.40/x
  3. Step 3: Cross multiply
    283,957.20x = 425,935.80 × 213,098.40
  4. Step 4: Simplify right side
    283,957.20x = 90,766,237,482.72
  5. Step 5: Solve for x
    x = 90,766,237,482.72/283,957.20
  6. Step 6: Final answer
    x = 319,647.60

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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.