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Finding the Fourth Proportional to 470,521.70, 705,782.55 and 271,456.10

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Solution

The fourth proportional to 470,521.70, 705,782.55 and 271,456.10 is: 407,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,521.70 : 705,782.55 = 271,456.10 : x
  2. Step 2: Convert to fraction form
    470,521.70/705,782.55 = 271,456.10/x
  3. Step 3: Cross multiply
    470,521.70x = 705,782.55 × 271,456.10
  4. Step 4: Simplify right side
    470,521.70x = 191,588,978,471.06
  5. Step 5: Solve for x
    x = 191,588,978,471.06/470,521.70
  6. Step 6: Final answer
    x = 407,184.15

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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.