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Finding the Fourth Proportional to 615,416, 849,275.16 and 347,144

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Solution

The fourth proportional to 615,416, 849,275.16 and 347,144 is: 479,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,416 : 849,275.16 = 347,144 : x
  2. Step 2: Convert to fraction form
    615,416/849,275.16 = 347,144/x
  3. Step 3: Cross multiply
    615,416x = 849,275.16 × 347,144
  4. Step 4: Simplify right side
    615,416x = 294,820,776,143.04
  5. Step 5: Solve for x
    x = 294,820,776,143.04/615,416
  6. Step 6: Final answer
    x = 479,059.33

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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.