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Finding the Fourth Proportional to 406,429.80, 608,988.60 and 256,401.60

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Solution

The fourth proportional to 406,429.80, 608,988.60 and 256,401.60 is: 384,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,429.80 : 608,988.60 = 256,401.60 : x
  2. Step 2: Convert to fraction form
    406,429.80/608,988.60 = 256,401.60/x
  3. Step 3: Cross multiply
    406,429.80x = 608,988.60 × 256,401.60
  4. Step 4: Simplify right side
    406,429.80x = 156,145,651,421.76
  5. Step 5: Solve for x
    x = 156,145,651,421.76/406,429.80
  6. Step 6: Final answer
    x = 384,188.49

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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.