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Finding the Fourth Proportional to 400,466.82, 600,478.80 and 304,438.39

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Solution

The fourth proportional to 400,466.82, 600,478.80 and 304,438.39 is: 456,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,466.82 : 600,478.80 = 304,438.39 : x
  2. Step 2: Convert to fraction form
    400,466.82/600,478.80 = 304,438.39/x
  3. Step 3: Cross multiply
    400,466.82x = 600,478.80 × 304,438.39
  4. Step 4: Simplify right side
    400,466.82x = 182,808,799,101.13
  5. Step 5: Solve for x
    x = 182,808,799,101.13/400,466.82
  6. Step 6: Final answer
    x = 456,489.25

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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.