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Finding the Fourth Proportional to 288,741.70, 433,112.55 and 259,711.30

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Solution

The fourth proportional to 288,741.70, 433,112.55 and 259,711.30 is: 389,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,741.70 : 433,112.55 = 259,711.30 : x
  2. Step 2: Convert to fraction form
    288,741.70/433,112.55 = 259,711.30/x
  3. Step 3: Cross multiply
    288,741.70x = 433,112.55 × 259,711.30
  4. Step 4: Simplify right side
    288,741.70x = 112,484,223,406.82
  5. Step 5: Solve for x
    x = 112,484,223,406.82/288,741.70
  6. Step 6: Final answer
    x = 389,566.95

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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.