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Finding the Fourth Proportional to 224,519.64, 309,832.47 and 122,547.12

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Solution

The fourth proportional to 224,519.64, 309,832.47 and 122,547.12 is: 169,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,519.64 : 309,832.47 = 122,547.12 : x
  2. Step 2: Convert to fraction form
    224,519.64/309,832.47 = 122,547.12/x
  3. Step 3: Cross multiply
    224,519.64x = 309,832.47 × 122,547.12
  4. Step 4: Simplify right side
    224,519.64x = 37,969,076,880.99
  5. Step 5: Solve for x
    x = 37,969,076,880.99/224,519.64
  6. Step 6: Final answer
    x = 169,112.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.