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Finding the Fourth Proportional to 542,406.80, 815,359.80 and 385,720.40

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Solution

The fourth proportional to 542,406.80, 815,359.80 and 385,720.40 is: 579,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,406.80 : 815,359.80 = 385,720.40 : x
  2. Step 2: Convert to fraction form
    542,406.80/815,359.80 = 385,720.40/x
  3. Step 3: Cross multiply
    542,406.80x = 815,359.80 × 385,720.40
  4. Step 4: Simplify right side
    542,406.80x = 314,500,908,199.92
  5. Step 5: Solve for x
    x = 314,500,908,199.92/542,406.80
  6. Step 6: Final answer
    x = 579,824.79

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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.