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Finding the Fourth Proportional to 472,912.65, 652,635.21 and 258,064.50

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Solution

The fourth proportional to 472,912.65, 652,635.21 and 258,064.50 is: 356,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,912.65 : 652,635.21 = 258,064.50 : x
  2. Step 2: Convert to fraction form
    472,912.65/652,635.21 = 258,064.50/x
  3. Step 3: Cross multiply
    472,912.65x = 652,635.21 × 258,064.50
  4. Step 4: Simplify right side
    472,912.65x = 168,421,979,151.05
  5. Step 5: Solve for x
    x = 168,421,979,151.05/472,912.65
  6. Step 6: Final answer
    x = 356,137.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.