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Finding the Fourth Proportional to 912,854.96, 1,369,313.68 and 313,811

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Solution

The fourth proportional to 912,854.96, 1,369,313.68 and 313,811 is: 470,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,854.96 : 1,369,313.68 = 313,811 : x
  2. Step 2: Convert to fraction form
    912,854.96/1,369,313.68 = 313,811/x
  3. Step 3: Cross multiply
    912,854.96x = 1,369,313.68 × 313,811
  4. Step 4: Simplify right side
    912,854.96x = 429,705,695,234.48
  5. Step 5: Solve for x
    x = 429,705,695,234.48/912,854.96
  6. Step 6: Final answer
    x = 470,727.24

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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.