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Finding the Fourth Proportional to 369,333.72, 509,680.32 and 199,567.80

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Solution

The fourth proportional to 369,333.72, 509,680.32 and 199,567.80 is: 275,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,333.72 : 509,680.32 = 199,567.80 : x
  2. Step 2: Convert to fraction form
    369,333.72/509,680.32 = 199,567.80/x
  3. Step 3: Cross multiply
    369,333.72x = 509,680.32 × 199,567.80
  4. Step 4: Simplify right side
    369,333.72x = 101,715,780,165.70
  5. Step 5: Solve for x
    x = 101,715,780,165.70/369,333.72
  6. Step 6: Final answer
    x = 275,403.45

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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.