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Finding the Fourth Proportional to 360,379.76, 497,354.04 and 209,506.16

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Solution

The fourth proportional to 360,379.76, 497,354.04 and 209,506.16 is: 289,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,379.76 : 497,354.04 = 209,506.16 : x
  2. Step 2: Convert to fraction form
    360,379.76/497,354.04 = 209,506.16/x
  3. Step 3: Cross multiply
    360,379.76x = 497,354.04 × 209,506.16
  4. Step 4: Simplify right side
    360,379.76x = 104,198,735,080.89
  5. Step 5: Solve for x
    x = 104,198,735,080.89/360,379.76
  6. Step 6: Final answer
    x = 289,135.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.