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Finding the Fourth Proportional to 470,473.96, 705,709.50 and 189,987.88

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Solution

The fourth proportional to 470,473.96, 705,709.50 and 189,987.88 is: 284,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,473.96 : 705,709.50 = 189,987.88 : x
  2. Step 2: Convert to fraction form
    470,473.96/705,709.50 = 189,987.88/x
  3. Step 3: Cross multiply
    470,473.96x = 705,709.50 × 189,987.88
  4. Step 4: Simplify right side
    470,473.96x = 134,076,251,800.86
  5. Step 5: Solve for x
    x = 134,076,251,800.86/470,473.96
  6. Step 6: Final answer
    x = 284,981.24

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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.