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Finding the Fourth Proportional to 508,876.83, 702,222.62 and 282,507.75

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Solution

The fourth proportional to 508,876.83, 702,222.62 and 282,507.75 is: 389,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,876.83 : 702,222.62 = 282,507.75 : x
  2. Step 2: Convert to fraction form
    508,876.83/702,222.62 = 282,507.75/x
  3. Step 3: Cross multiply
    508,876.83x = 702,222.62 × 282,507.75
  4. Step 4: Simplify right side
    508,876.83x = 198,383,330,962.77
  5. Step 5: Solve for x
    x = 198,383,330,962.77/508,876.83
  6. Step 6: Final answer
    x = 389,845.48

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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.