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Finding the Fourth Proportional to 309,014.40, 463,406.40 and 121,987.20

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Solution

The fourth proportional to 309,014.40, 463,406.40 and 121,987.20 is: 182,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,014.40 : 463,406.40 = 121,987.20 : x
  2. Step 2: Convert to fraction form
    309,014.40/463,406.40 = 121,987.20/x
  3. Step 3: Cross multiply
    309,014.40x = 463,406.40 × 121,987.20
  4. Step 4: Simplify right side
    309,014.40x = 56,529,649,198.08
  5. Step 5: Solve for x
    x = 56,529,649,198.08/309,014.40
  6. Step 6: Final answer
    x = 182,935.32

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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.