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Finding the Fourth Proportional to 500,191.32, 749,085.70 and 286,311

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Solution

The fourth proportional to 500,191.32, 749,085.70 and 286,311 is: 428,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,191.32 : 749,085.70 = 286,311 : x
  2. Step 2: Convert to fraction form
    500,191.32/749,085.70 = 286,311/x
  3. Step 3: Cross multiply
    500,191.32x = 749,085.70 × 286,311
  4. Step 4: Simplify right side
    500,191.32x = 214,471,475,852.70
  5. Step 5: Solve for x
    x = 214,471,475,852.70/500,191.32
  6. Step 6: Final answer
    x = 428,778.88

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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.