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Finding the Fourth Proportional to 478,189.37, 659,703.29 and 284,558.31

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Solution

The fourth proportional to 478,189.37, 659,703.29 and 284,558.31 is: 392,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,189.37 : 659,703.29 = 284,558.31 : x
  2. Step 2: Convert to fraction form
    478,189.37/659,703.29 = 284,558.31/x
  3. Step 3: Cross multiply
    478,189.37x = 659,703.29 × 284,558.31
  4. Step 4: Simplify right side
    478,189.37x = 187,724,051,881.05
  5. Step 5: Solve for x
    x = 187,724,051,881.05/478,189.37
  6. Step 6: Final answer
    x = 392,572.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.