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Finding the Fourth Proportional to 508,910.48, 702,318.40 and 282,556

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Solution

The fourth proportional to 508,910.48, 702,318.40 and 282,556 is: 389,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,910.48 : 702,318.40 = 282,556 : x
  2. Step 2: Convert to fraction form
    508,910.48/702,318.40 = 282,556/x
  3. Step 3: Cross multiply
    508,910.48x = 702,318.40 × 282,556
  4. Step 4: Simplify right side
    508,910.48x = 198,444,277,830.40
  5. Step 5: Solve for x
    x = 198,444,277,830.40/508,910.48
  6. Step 6: Final answer
    x = 389,939.46

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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.