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Finding the Fourth Proportional to 471,019.40, 707,956.52 and 311,638.94

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Solution

The fourth proportional to 471,019.40, 707,956.52 and 311,638.94 is: 468,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,019.40 : 707,956.52 = 311,638.94 : x
  2. Step 2: Convert to fraction form
    471,019.40/707,956.52 = 311,638.94/x
  3. Step 3: Cross multiply
    471,019.40x = 707,956.52 × 311,638.94
  4. Step 4: Simplify right side
    471,019.40x = 220,626,814,360.91
  5. Step 5: Solve for x
    x = 220,626,814,360.91/471,019.40
  6. Step 6: Final answer
    x = 468,402.82

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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.