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Finding the Fourth Proportional to 406,307.56, 609,454.84 and 136,454.44

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Solution

The fourth proportional to 406,307.56, 609,454.84 and 136,454.44 is: 204,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,307.56 : 609,454.84 = 136,454.44 : x
  2. Step 2: Convert to fraction form
    406,307.56/609,454.84 = 136,454.44/x
  3. Step 3: Cross multiply
    406,307.56x = 609,454.84 × 136,454.44
  4. Step 4: Simplify right side
    406,307.56x = 83,162,818,897.49
  5. Step 5: Solve for x
    x = 83,162,818,897.49/406,307.56
  6. Step 6: Final answer
    x = 204,679.48

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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.