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Finding the Fourth Proportional to 283,242.94, 390,871.10 and 155,915.26

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Solution

The fourth proportional to 283,242.94, 390,871.10 and 155,915.26 is: 215,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,242.94 : 390,871.10 = 155,915.26 : x
  2. Step 2: Convert to fraction form
    283,242.94/390,871.10 = 155,915.26/x
  3. Step 3: Cross multiply
    283,242.94x = 390,871.10 × 155,915.26
  4. Step 4: Simplify right side
    283,242.94x = 60,942,769,182.99
  5. Step 5: Solve for x
    x = 60,942,769,182.99/283,242.94
  6. Step 6: Final answer
    x = 215,160.77

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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.