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Finding the Fourth Proportional to 282,812.91, 390,283.28 and 155,496.70

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Solution

The fourth proportional to 282,812.91, 390,283.28 and 155,496.70 is: 214,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,812.91 : 390,283.28 = 155,496.70 : x
  2. Step 2: Convert to fraction form
    282,812.91/390,283.28 = 155,496.70/x
  3. Step 3: Cross multiply
    282,812.91x = 390,283.28 × 155,496.70
  4. Step 4: Simplify right side
    282,812.91x = 60,687,761,327.69
  5. Step 5: Solve for x
    x = 60,687,761,327.69/282,812.91
  6. Step 6: Final answer
    x = 214,586.25

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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.