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Finding the Fourth Proportional to 282,962.52, 390,494.52 and 155,644.56

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Solution

The fourth proportional to 282,962.52, 390,494.52 and 155,644.56 is: 214,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,962.52 : 390,494.52 = 155,644.56 : x
  2. Step 2: Convert to fraction form
    282,962.52/390,494.52 = 155,644.56/x
  3. Step 3: Cross multiply
    282,962.52x = 390,494.52 × 155,644.56
  4. Step 4: Simplify right side
    282,962.52x = 60,778,347,747.81
  5. Step 5: Solve for x
    x = 60,778,347,747.81/282,962.52
  6. Step 6: Final answer
    x = 214,792.93

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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.