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Finding the Fourth Proportional to 523,311.40, 784,160.70 and 389,564.20

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Solution

The fourth proportional to 523,311.40, 784,160.70 and 389,564.20 is: 583,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,311.40 : 784,160.70 = 389,564.20 : x
  2. Step 2: Convert to fraction form
    523,311.40/784,160.70 = 389,564.20/x
  3. Step 3: Cross multiply
    523,311.40x = 784,160.70 × 389,564.20
  4. Step 4: Simplify right side
    523,311.40x = 305,480,935,766.94
  5. Step 5: Solve for x
    x = 305,480,935,766.94/523,311.40
  6. Step 6: Final answer
    x = 583,746.00

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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.