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Finding the Fourth Proportional to 346,653.54, 478,364.40 and 193,661.35

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Solution

The fourth proportional to 346,653.54, 478,364.40 and 193,661.35 is: 267,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,653.54 : 478,364.40 = 193,661.35 : x
  2. Step 2: Convert to fraction form
    346,653.54/478,364.40 = 193,661.35/x
  3. Step 3: Cross multiply
    346,653.54x = 478,364.40 × 193,661.35
  4. Step 4: Simplify right side
    346,653.54x = 92,640,694,300.03
  5. Step 5: Solve for x
    x = 92,640,694,300.03/346,653.54
  6. Step 6: Final answer
    x = 267,242.89

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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.