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Finding the Fourth Proportional to 559,715.70, 839,751.12 and 199,878.69

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Solution

The fourth proportional to 559,715.70, 839,751.12 and 199,878.69 is: 299,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,715.70 : 839,751.12 = 199,878.69 : x
  2. Step 2: Convert to fraction form
    559,715.70/839,751.12 = 199,878.69/x
  3. Step 3: Cross multiply
    559,715.70x = 839,751.12 × 199,878.69
  4. Step 4: Simplify right side
    559,715.70x = 167,848,353,791.63
  5. Step 5: Solve for x
    x = 167,848,353,791.63/559,715.70
  6. Step 6: Final answer
    x = 299,881.45

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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.