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Finding the Fourth Proportional to 509,149.75, 702,648.54 and 282,795.25

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Solution

The fourth proportional to 509,149.75, 702,648.54 and 282,795.25 is: 390,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,149.75 : 702,648.54 = 282,795.25 : x
  2. Step 2: Convert to fraction form
    509,149.75/702,648.54 = 282,795.25/x
  3. Step 3: Cross multiply
    509,149.75x = 702,648.54 × 282,795.25
  4. Step 4: Simplify right side
    509,149.75x = 198,705,669,531.44
  5. Step 5: Solve for x
    x = 198,705,669,531.44/509,149.75
  6. Step 6: Final answer
    x = 390,269.60

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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.