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Finding the Fourth Proportional to 580,470.19, 870,774.52 and 280,735.39

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Solution

The fourth proportional to 580,470.19, 870,774.52 and 280,735.39 is: 421,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,470.19 : 870,774.52 = 280,735.39 : x
  2. Step 2: Convert to fraction form
    580,470.19/870,774.52 = 280,735.39/x
  3. Step 3: Cross multiply
    580,470.19x = 870,774.52 × 280,735.39
  4. Step 4: Simplify right side
    580,470.19x = 244,457,224,474.26
  5. Step 5: Solve for x
    x = 244,457,224,474.26/580,470.19
  6. Step 6: Final answer
    x = 421,136.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.