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Finding the Fourth Proportional to 283,118.60, 424,885.40 and 208,439.98

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Solution

The fourth proportional to 283,118.60, 424,885.40 and 208,439.98 is: 312,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,118.60 : 424,885.40 = 208,439.98 : x
  2. Step 2: Convert to fraction form
    283,118.60/424,885.40 = 208,439.98/x
  3. Step 3: Cross multiply
    283,118.60x = 424,885.40 × 208,439.98
  4. Step 4: Simplify right side
    283,118.60x = 88,563,104,278.29
  5. Step 5: Solve for x
    x = 88,563,104,278.29/283,118.60
  6. Step 6: Final answer
    x = 312,812.74

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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.