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Finding the Fourth Proportional to 912,855.96, 1,369,315.17 and 313,812

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Solution

The fourth proportional to 912,855.96, 1,369,315.17 and 313,812 is: 470,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,855.96 : 1,369,315.17 = 313,812 : x
  2. Step 2: Convert to fraction form
    912,855.96/1,369,315.17 = 313,812/x
  3. Step 3: Cross multiply
    912,855.96x = 1,369,315.17 × 313,812
  4. Step 4: Simplify right side
    912,855.96x = 429,707,532,128.04
  5. Step 5: Solve for x
    x = 429,707,532,128.04/912,855.96
  6. Step 6: Final answer
    x = 470,728.74

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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.