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Finding the Fourth Proportional to 410,006.40, 615,009.60 and 396,228.30

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Solution

The fourth proportional to 410,006.40, 615,009.60 and 396,228.30 is: 594,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,006.40 : 615,009.60 = 396,228.30 : x
  2. Step 2: Convert to fraction form
    410,006.40/615,009.60 = 396,228.30/x
  3. Step 3: Cross multiply
    410,006.40x = 615,009.60 × 396,228.30
  4. Step 4: Simplify right side
    410,006.40x = 243,684,208,291.68
  5. Step 5: Solve for x
    x = 243,684,208,291.68/410,006.40
  6. Step 6: Final answer
    x = 594,342.45

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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.