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Finding the Fourth Proportional to 357,498.85, 493,228.37 and 202,428.95

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Solution

The fourth proportional to 357,498.85, 493,228.37 and 202,428.95 is: 279,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,498.85 : 493,228.37 = 202,428.95 : x
  2. Step 2: Convert to fraction form
    357,498.85/493,228.37 = 202,428.95/x
  3. Step 3: Cross multiply
    357,498.85x = 493,228.37 × 202,428.95
  4. Step 4: Simplify right side
    357,498.85x = 99,843,701,049.31
  5. Step 5: Solve for x
    x = 99,843,701,049.31/357,498.85
  6. Step 6: Final answer
    x = 279,283.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.