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Finding the Fourth Proportional to 392,865, 542,153.70 and 214,017

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Solution

The fourth proportional to 392,865, 542,153.70 and 214,017 is: 295,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,865 : 542,153.70 = 214,017 : x
  2. Step 2: Convert to fraction form
    392,865/542,153.70 = 214,017/x
  3. Step 3: Cross multiply
    392,865x = 542,153.70 × 214,017
  4. Step 4: Simplify right side
    392,865x = 116,030,108,412.90
  5. Step 5: Solve for x
    x = 116,030,108,412.90/392,865
  6. Step 6: Final answer
    x = 295,343.46

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1.5x scale

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.