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Finding the Fourth Proportional to 410,699.60, 615,903.60 and 284,339.60

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Solution

The fourth proportional to 410,699.60, 615,903.60 and 284,339.60 is: 426,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,699.60 : 615,903.60 = 284,339.60 : x
  2. Step 2: Convert to fraction form
    410,699.60/615,903.60 = 284,339.60/x
  3. Step 3: Cross multiply
    410,699.60x = 615,903.60 × 284,339.60
  4. Step 4: Simplify right side
    410,699.60x = 175,125,783,262.56
  5. Step 5: Solve for x
    x = 175,125,783,262.56/410,699.60
  6. Step 6: Final answer
    x = 426,408.46

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1.5x scale

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.