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Finding the Fourth Proportional to 508,677.75, 702,008.10 and 282,323.25

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Solution

The fourth proportional to 508,677.75, 702,008.10 and 282,323.25 is: 389,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,677.75 : 702,008.10 = 282,323.25 : x
  2. Step 2: Convert to fraction form
    508,677.75/702,008.10 = 282,323.25/x
  3. Step 3: Cross multiply
    508,677.75x = 702,008.10 × 282,323.25
  4. Step 4: Simplify right side
    508,677.75x = 198,193,208,318.33
  5. Step 5: Solve for x
    x = 198,193,208,318.33/508,677.75
  6. Step 6: Final answer
    x = 389,624.29

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1.5x scale

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.