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Finding the Fourth Proportional to 522,081.70, 781,567.35 and 311,611.30

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Solution

The fourth proportional to 522,081.70, 781,567.35 and 311,611.30 is: 466,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,081.70 : 781,567.35 = 311,611.30 : x
  2. Step 2: Convert to fraction form
    522,081.70/781,567.35 = 311,611.30/x
  3. Step 3: Cross multiply
    522,081.70x = 781,567.35 × 311,611.30
  4. Step 4: Simplify right side
    522,081.70x = 243,545,217,971.06
  5. Step 5: Solve for x
    x = 243,545,217,971.06/522,081.70
  6. Step 6: Final answer
    x = 466,488.71

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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.