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Finding the Fourth Proportional to 395,378.40, 592,952.40 and 142,629.60

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Solution

The fourth proportional to 395,378.40, 592,952.40 and 142,629.60 is: 213,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,378.40 : 592,952.40 = 142,629.60 : x
  2. Step 2: Convert to fraction form
    395,378.40/592,952.40 = 142,629.60/x
  3. Step 3: Cross multiply
    395,378.40x = 592,952.40 × 142,629.60
  4. Step 4: Simplify right side
    395,378.40x = 84,572,563,631.04
  5. Step 5: Solve for x
    x = 84,572,563,631.04/395,378.40
  6. Step 6: Final answer
    x = 213,902.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.