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Finding the Fourth Proportional to 410,705.60, 615,912.60 and 284,345.60

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Solution

The fourth proportional to 410,705.60, 615,912.60 and 284,345.60 is: 426,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,705.60 : 615,912.60 = 284,345.60 : x
  2. Step 2: Convert to fraction form
    410,705.60/615,912.60 = 284,345.60/x
  3. Step 3: Cross multiply
    410,705.60x = 615,912.60 × 284,345.60
  4. Step 4: Simplify right side
    410,705.60x = 175,132,037,794.56
  5. Step 5: Solve for x
    x = 175,132,037,794.56/410,705.60
  6. Step 6: Final answer
    x = 426,417.46

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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.