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Finding the Fourth Proportional to 407,578.32, 611,488.98 and 194,506.20

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Solution

The fourth proportional to 407,578.32, 611,488.98 and 194,506.20 is: 291,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,578.32 : 611,488.98 = 194,506.20 : x
  2. Step 2: Convert to fraction form
    407,578.32/611,488.98 = 194,506.20/x
  3. Step 3: Cross multiply
    407,578.32x = 611,488.98 × 194,506.20
  4. Step 4: Simplify right side
    407,578.32x = 118,938,397,841.68
  5. Step 5: Solve for x
    x = 118,938,397,841.68/407,578.32
  6. Step 6: Final answer
    x = 291,817.28

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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.