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Finding the Fourth Proportional to 410,420.70, 615,631.05 and 401,672.70

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Solution

The fourth proportional to 410,420.70, 615,631.05 and 401,672.70 is: 602,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,420.70 : 615,631.05 = 401,672.70 : x
  2. Step 2: Convert to fraction form
    410,420.70/615,631.05 = 401,672.70/x
  3. Step 3: Cross multiply
    410,420.70x = 615,631.05 × 401,672.70
  4. Step 4: Simplify right side
    410,420.70x = 247,282,186,057.34
  5. Step 5: Solve for x
    x = 247,282,186,057.34/410,420.70
  6. Step 6: Final answer
    x = 602,509.05

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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.