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Finding the Fourth Proportional to 459,550.96, 689,326.68 and 210,058

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Solution

The fourth proportional to 459,550.96, 689,326.68 and 210,058 is: 315,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,550.96 : 689,326.68 = 210,058 : x
  2. Step 2: Convert to fraction form
    459,550.96/689,326.68 = 210,058/x
  3. Step 3: Cross multiply
    459,550.96x = 689,326.68 × 210,058
  4. Step 4: Simplify right side
    459,550.96x = 144,798,583,747.44
  5. Step 5: Solve for x
    x = 144,798,583,747.44/459,550.96
  6. Step 6: Final answer
    x = 315,087.11

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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.