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Finding the Fourth Proportional to 470,712.64, 705,898.10 and 257,638

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Solution

The fourth proportional to 470,712.64, 705,898.10 and 257,638 is: 386,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,712.64 : 705,898.10 = 257,638 : x
  2. Step 2: Convert to fraction form
    470,712.64/705,898.10 = 257,638/x
  3. Step 3: Cross multiply
    470,712.64x = 705,898.10 × 257,638
  4. Step 4: Simplify right side
    470,712.64x = 181,866,174,687.80
  5. Step 5: Solve for x
    x = 181,866,174,687.80/470,712.64
  6. Step 6: Final answer
    x = 386,363.48

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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.