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Finding the Fourth Proportional to 615,414, 849,272.40 and 347,142

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Solution

The fourth proportional to 615,414, 849,272.40 and 347,142 is: 479,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,414 : 849,272.40 = 347,142 : x
  2. Step 2: Convert to fraction form
    615,414/849,272.40 = 347,142/x
  3. Step 3: Cross multiply
    615,414x = 849,272.40 × 347,142
  4. Step 4: Simplify right side
    615,414x = 294,818,119,480.80
  5. Step 5: Solve for x
    x = 294,818,119,480.80/615,414
  6. Step 6: Final answer
    x = 479,056.57

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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.