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Finding the Fourth Proportional to 615,704.14, 849,663.63 and 343,776.66

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Solution

The fourth proportional to 615,704.14, 849,663.63 and 343,776.66 is: 474,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,704.14 : 849,663.63 = 343,776.66 : x
  2. Step 2: Convert to fraction form
    615,704.14/849,663.63 = 343,776.66/x
  3. Step 3: Cross multiply
    615,704.14x = 849,663.63 × 343,776.66
  4. Step 4: Simplify right side
    615,704.14x = 292,094,524,844.88
  5. Step 5: Solve for x
    x = 292,094,524,844.88/615,704.14
  6. Step 6: Final answer
    x = 474,407.28

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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.