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Finding the Fourth Proportional to 224,385, 309,657.16 and 122,412.12

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Solution

The fourth proportional to 224,385, 309,657.16 and 122,412.12 is: 168,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,385 : 309,657.16 = 122,412.12 : x
  2. Step 2: Convert to fraction form
    224,385/309,657.16 = 122,412.12/x
  3. Step 3: Cross multiply
    224,385x = 309,657.16 × 122,412.12
  4. Step 4: Simplify right side
    224,385x = 37,905,789,428.78
  5. Step 5: Solve for x
    x = 37,905,789,428.78/224,385
  6. Step 6: Final answer
    x = 168,931.92

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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.