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Finding the Fourth Proportional to 470,058.40, 705,490.80 and 189,776.80

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Solution

The fourth proportional to 470,058.40, 705,490.80 and 189,776.80 is: 284,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,058.40 : 705,490.80 = 189,776.80 : x
  2. Step 2: Convert to fraction form
    470,058.40/705,490.80 = 189,776.80/x
  3. Step 3: Cross multiply
    470,058.40x = 705,490.80 × 189,776.80
  4. Step 4: Simplify right side
    470,058.40x = 133,885,786,453.44
  5. Step 5: Solve for x
    x = 133,885,786,453.44/470,058.40
  6. Step 6: Final answer
    x = 284,827.98

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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.