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Finding the Fourth Proportional to 470,858.10, 706,064.55 and 171,129.78

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Solution

The fourth proportional to 470,858.10, 706,064.55 and 171,129.78 is: 256,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,858.10 : 706,064.55 = 171,129.78 : x
  2. Step 2: Convert to fraction form
    470,858.10/706,064.55 = 171,129.78/x
  3. Step 3: Cross multiply
    470,858.10x = 706,064.55 × 171,129.78
  4. Step 4: Simplify right side
    470,858.10x = 120,828,671,107.30
  5. Step 5: Solve for x
    x = 120,828,671,107.30/470,858.10
  6. Step 6: Final answer
    x = 256,613.77

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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.