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Finding the Fourth Proportional to 283,071.76, 390,644.98 and 155,747.60

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Solution

The fourth proportional to 283,071.76, 390,644.98 and 155,747.60 is: 214,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,071.76 : 390,644.98 = 155,747.60 : x
  2. Step 2: Convert to fraction form
    283,071.76/390,644.98 = 155,747.60/x
  3. Step 3: Cross multiply
    283,071.76x = 390,644.98 × 155,747.60
  4. Step 4: Simplify right side
    283,071.76x = 60,842,018,087.05
  5. Step 5: Solve for x
    x = 60,842,018,087.05/283,071.76
  6. Step 6: Final answer
    x = 214,934.96

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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.