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Finding the Fourth Proportional to 309,824, 464,548.52 and 139,014.40

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Solution

The fourth proportional to 309,824, 464,548.52 and 139,014.40 is: 208,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,824 : 464,548.52 = 139,014.40 : x
  2. Step 2: Convert to fraction form
    309,824/464,548.52 = 139,014.40/x
  3. Step 3: Cross multiply
    309,824x = 464,548.52 × 139,014.40
  4. Step 4: Simplify right side
    309,824x = 64,578,933,778.69
  5. Step 5: Solve for x
    x = 64,578,933,778.69/309,824
  6. Step 6: Final answer
    x = 208,437.48

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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.