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Finding the Fourth Proportional to 615,472, 849,380.70 and 347,200

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Solution

The fourth proportional to 615,472, 849,380.70 and 347,200 is: 479,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,472 : 849,380.70 = 347,200 : x
  2. Step 2: Convert to fraction form
    615,472/849,380.70 = 347,200/x
  3. Step 3: Cross multiply
    615,472x = 849,380.70 × 347,200
  4. Step 4: Simplify right side
    615,472x = 294,904,979,040
  5. Step 5: Solve for x
    x = 294,904,979,040/615,472
  6. Step 6: Final answer
    x = 479,152.55

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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.