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Finding the Fourth Proportional to 470,315.18, 705,468.87 and 279,511.94

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Solution

The fourth proportional to 470,315.18, 705,468.87 and 279,511.94 is: 419,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,315.18 : 705,468.87 = 279,511.94 : x
  2. Step 2: Convert to fraction form
    470,315.18/705,468.87 = 279,511.94/x
  3. Step 3: Cross multiply
    470,315.18x = 705,468.87 × 279,511.94
  4. Step 4: Simplify right side
    470,315.18x = 197,186,967,538.40
  5. Step 5: Solve for x
    x = 197,186,967,538.40/470,315.18
  6. Step 6: Final answer
    x = 419,265.59

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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.