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Finding the Fourth Proportional to 534,742.40, 802,113.60 and 415,769.60

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Solution

The fourth proportional to 534,742.40, 802,113.60 and 415,769.60 is: 623,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,742.40 : 802,113.60 = 415,769.60 : x
  2. Step 2: Convert to fraction form
    534,742.40/802,113.60 = 415,769.60/x
  3. Step 3: Cross multiply
    534,742.40x = 802,113.60 × 415,769.60
  4. Step 4: Simplify right side
    534,742.40x = 333,494,450,626.56
  5. Step 5: Solve for x
    x = 333,494,450,626.56/534,742.40
  6. Step 6: Final answer
    x = 623,654.40

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1.5x scale

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.