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Finding the Fourth Proportional to 370,129.85, 510,782.72 and 217,170.65

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Solution

The fourth proportional to 370,129.85, 510,782.72 and 217,170.65 is: 299,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,129.85 : 510,782.72 = 217,170.65 : x
  2. Step 2: Convert to fraction form
    370,129.85/510,782.72 = 217,170.65/x
  3. Step 3: Cross multiply
    370,129.85x = 510,782.72 × 217,170.65
  4. Step 4: Simplify right side
    370,129.85x = 110,927,015,311.17
  5. Step 5: Solve for x
    x = 110,927,015,311.17/370,129.85
  6. Step 6: Final answer
    x = 299,697.57

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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.