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Finding the Fourth Proportional to 289,312.90, 433,969.35 and 76,080.40

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Solution

The fourth proportional to 289,312.90, 433,969.35 and 76,080.40 is: 114,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,312.90 : 433,969.35 = 76,080.40 : x
  2. Step 2: Convert to fraction form
    289,312.90/433,969.35 = 76,080.40/x
  3. Step 3: Cross multiply
    289,312.90x = 433,969.35 × 76,080.40
  4. Step 4: Simplify right side
    289,312.90x = 33,016,561,735.74
  5. Step 5: Solve for x
    x = 33,016,561,735.74/289,312.90
  6. Step 6: Final answer
    x = 114,120.60

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1.5x scale

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.