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Finding the Fourth Proportional to 912,852.96, 1,369,310.67 and 313,809

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Solution

The fourth proportional to 912,852.96, 1,369,310.67 and 313,809 is: 470,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,852.96 : 1,369,310.67 = 313,809 : x
  2. Step 2: Convert to fraction form
    912,852.96/1,369,310.67 = 313,809/x
  3. Step 3: Cross multiply
    912,852.96x = 1,369,310.67 × 313,809
  4. Step 4: Simplify right side
    912,852.96x = 429,702,012,042.03
  5. Step 5: Solve for x
    x = 429,702,012,042.03/912,852.96
  6. Step 6: Final answer
    x = 470,724.24

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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.