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Finding the Fourth Proportional to 447,079.80, 670,619.70 and 406,401.60

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Solution

The fourth proportional to 447,079.80, 670,619.70 and 406,401.60 is: 609,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,079.80 : 670,619.70 = 406,401.60 : x
  2. Step 2: Convert to fraction form
    447,079.80/670,619.70 = 406,401.60/x
  3. Step 3: Cross multiply
    447,079.80x = 670,619.70 × 406,401.60
  4. Step 4: Simplify right side
    447,079.80x = 272,540,919,071.52
  5. Step 5: Solve for x
    x = 272,540,919,071.52/447,079.80
  6. Step 6: Final answer
    x = 609,602.40

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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.