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Finding the Fourth Proportional to 615,734.46, 849,704.73 and 343,806.63

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Solution

The fourth proportional to 615,734.46, 849,704.73 and 343,806.63 is: 474,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,734.46 : 849,704.73 = 343,806.63 : x
  2. Step 2: Convert to fraction form
    615,734.46/849,704.73 = 343,806.63/x
  3. Step 3: Cross multiply
    615,734.46x = 849,704.73 × 343,806.63
  4. Step 4: Simplify right side
    615,734.46x = 292,134,117,174.61
  5. Step 5: Solve for x
    x = 292,134,117,174.61/615,734.46
  6. Step 6: Final answer
    x = 474,448.22

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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.