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Finding the Fourth Proportional to 402,109.65, 602,245.53 and 191,895.21

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Solution

The fourth proportional to 402,109.65, 602,245.53 and 191,895.21 is: 287,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,109.65 : 602,245.53 = 191,895.21 : x
  2. Step 2: Convert to fraction form
    402,109.65/602,245.53 = 191,895.21/x
  3. Step 3: Cross multiply
    402,109.65x = 602,245.53 × 191,895.21
  4. Step 4: Simplify right side
    402,109.65x = 115,568,032,450.91
  5. Step 5: Solve for x
    x = 115,568,032,450.91/402,109.65
  6. Step 6: Final answer
    x = 287,404.28

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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.