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Finding the Fourth Proportional to 559,659.84, 839,065.32 and 289,498.56

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Solution

The fourth proportional to 559,659.84, 839,065.32 and 289,498.56 is: 434,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,659.84 : 839,065.32 = 289,498.56 : x
  2. Step 2: Convert to fraction form
    559,659.84/839,065.32 = 289,498.56/x
  3. Step 3: Cross multiply
    559,659.84x = 839,065.32 × 289,498.56
  4. Step 4: Simplify right side
    559,659.84x = 242,908,201,885.94
  5. Step 5: Solve for x
    x = 242,908,201,885.94/559,659.84
  6. Step 6: Final answer
    x = 434,028.29

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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.