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Finding the Fourth Proportional to 524,652.20, 786,978.30 and 410,490.80

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Solution

The fourth proportional to 524,652.20, 786,978.30 and 410,490.80 is: 615,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652.20 : 786,978.30 = 410,490.80 : x
  2. Step 2: Convert to fraction form
    524,652.20/786,978.30 = 410,490.80/x
  3. Step 3: Cross multiply
    524,652.20x = 786,978.30 × 410,490.80
  4. Step 4: Simplify right side
    524,652.20x = 323,047,351,949.64
  5. Step 5: Solve for x
    x = 323,047,351,949.64/524,652.20
  6. Step 6: Final answer
    x = 615,736.20

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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.