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Finding the Fourth Proportional to 338,320.67, 506,078.46 and 257,748.98

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Solution

The fourth proportional to 338,320.67, 506,078.46 and 257,748.98 is: 385,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,320.67 : 506,078.46 = 257,748.98 : x
  2. Step 2: Convert to fraction form
    338,320.67/506,078.46 = 257,748.98/x
  3. Step 3: Cross multiply
    338,320.67x = 506,078.46 × 257,748.98
  4. Step 4: Simplify right side
    338,320.67x = 130,441,204,334.58
  5. Step 5: Solve for x
    x = 130,441,204,334.58/338,320.67
  6. Step 6: Final answer
    x = 385,554.94

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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.