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Finding the Fourth Proportional to 417,602.55, 627,716.03 and 409,729.35

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Solution

The fourth proportional to 417,602.55, 627,716.03 and 409,729.35 is: 615,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,602.55 : 627,716.03 = 409,729.35 : x
  2. Step 2: Convert to fraction form
    417,602.55/627,716.03 = 409,729.35/x
  3. Step 3: Cross multiply
    417,602.55x = 627,716.03 × 409,729.35
  4. Step 4: Simplify right side
    417,602.55x = 257,193,678,907.83
  5. Step 5: Solve for x
    x = 257,193,678,907.83/417,602.55
  6. Step 6: Final answer
    x = 615,881.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.