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Finding the Fourth Proportional to 289,310.90, 433,966.35 and 76,078.40

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Solution

The fourth proportional to 289,310.90, 433,966.35 and 76,078.40 is: 114,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,310.90 : 433,966.35 = 76,078.40 : x
  2. Step 2: Convert to fraction form
    289,310.90/433,966.35 = 76,078.40/x
  3. Step 3: Cross multiply
    289,310.90x = 433,966.35 × 76,078.40
  4. Step 4: Simplify right side
    289,310.90x = 33,015,465,561.84
  5. Step 5: Solve for x
    x = 33,015,465,561.84/289,310.90
  6. Step 6: Final answer
    x = 114,117.60

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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.