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Finding the Fourth Proportional to 410,135.40, 615,203.10 and 368,801.10

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Solution

The fourth proportional to 410,135.40, 615,203.10 and 368,801.10 is: 553,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135.40 : 615,203.10 = 368,801.10 : x
  2. Step 2: Convert to fraction form
    410,135.40/615,203.10 = 368,801.10/x
  3. Step 3: Cross multiply
    410,135.40x = 615,203.10 × 368,801.10
  4. Step 4: Simplify right side
    410,135.40x = 226,887,580,003.41
  5. Step 5: Solve for x
    x = 226,887,580,003.41/410,135.40
  6. Step 6: Final answer
    x = 553,201.65

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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.