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Finding the Fourth Proportional to 515,013.44, 710,706.24 and 285,569.60

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Solution

The fourth proportional to 515,013.44, 710,706.24 and 285,569.60 is: 394,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,013.44 : 710,706.24 = 285,569.60 : x
  2. Step 2: Convert to fraction form
    515,013.44/710,706.24 = 285,569.60/x
  3. Step 3: Cross multiply
    515,013.44x = 710,706.24 × 285,569.60
  4. Step 4: Simplify right side
    515,013.44x = 202,956,096,674.30
  5. Step 5: Solve for x
    x = 202,956,096,674.30/515,013.44
  6. Step 6: Final answer
    x = 394,079.22

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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.