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Finding the Fourth Proportional to 712,400.80, 982,719.12 and 486,378.40

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Solution

The fourth proportional to 712,400.80, 982,719.12 and 486,378.40 is: 670,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,400.80 : 982,719.12 = 486,378.40 : x
  2. Step 2: Convert to fraction form
    712,400.80/982,719.12 = 486,378.40/x
  3. Step 3: Cross multiply
    712,400.80x = 982,719.12 × 486,378.40
  4. Step 4: Simplify right side
    712,400.80x = 477,973,353,235.01
  5. Step 5: Solve for x
    x = 477,973,353,235.01/712,400.80
  6. Step 6: Final answer
    x = 670,933.21

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Double scale
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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.