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Finding the Fourth Proportional to 612,872.29, 920,169.87 and 313,567.57

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Solution

The fourth proportional to 612,872.29, 920,169.87 and 313,567.57 is: 470,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,872.29 : 920,169.87 = 313,567.57 : x
  2. Step 2: Convert to fraction form
    612,872.29/920,169.87 = 313,567.57/x
  3. Step 3: Cross multiply
    612,872.29x = 920,169.87 × 313,567.57
  4. Step 4: Simplify right side
    612,872.29x = 288,535,430,123.12
  5. Step 5: Solve for x
    x = 288,535,430,123.12/612,872.29
  6. Step 6: Final answer
    x = 470,792.10

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1.5x scale

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.