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Finding the Fourth Proportional to 410,137.40, 615,206.10 and 385,205.60

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Solution

The fourth proportional to 410,137.40, 615,206.10 and 385,205.60 is: 577,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,137.40 : 615,206.10 = 385,205.60 : x
  2. Step 2: Convert to fraction form
    410,137.40/615,206.10 = 385,205.60/x
  3. Step 3: Cross multiply
    410,137.40x = 615,206.10 × 385,205.60
  4. Step 4: Simplify right side
    410,137.40x = 236,980,834,874.16
  5. Step 5: Solve for x
    x = 236,980,834,874.16/410,137.40
  6. Step 6: Final answer
    x = 577,808.40

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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.