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Finding the Fourth Proportional to 406,655.40, 609,399.90 and 299,200.80

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Solution

The fourth proportional to 406,655.40, 609,399.90 and 299,200.80 is: 448,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,655.40 : 609,399.90 = 299,200.80 : x
  2. Step 2: Convert to fraction form
    406,655.40/609,399.90 = 299,200.80/x
  3. Step 3: Cross multiply
    406,655.40x = 609,399.90 × 299,200.80
  4. Step 4: Simplify right side
    406,655.40x = 182,332,937,599.92
  5. Step 5: Solve for x
    x = 182,332,937,599.92/406,655.40
  6. Step 6: Final answer
    x = 448,372.10

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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.