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Finding the Fourth Proportional to 289,724.80, 433,712.40 and 254,732.80

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Solution

The fourth proportional to 289,724.80, 433,712.40 and 254,732.80 is: 381,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,724.80 : 433,712.40 = 254,732.80 : x
  2. Step 2: Convert to fraction form
    289,724.80/433,712.40 = 254,732.80/x
  3. Step 3: Cross multiply
    289,724.80x = 433,712.40 × 254,732.80
  4. Step 4: Simplify right side
    289,724.80x = 110,480,774,046.72
  5. Step 5: Solve for x
    x = 110,480,774,046.72/289,724.80
  6. Step 6: Final answer
    x = 381,330.06

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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.