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Finding the Fourth Proportional to 410,153.60, 615,230.40 and 310,620.80

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Solution

The fourth proportional to 410,153.60, 615,230.40 and 310,620.80 is: 465,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,153.60 : 615,230.40 = 310,620.80 : x
  2. Step 2: Convert to fraction form
    410,153.60/615,230.40 = 310,620.80/x
  3. Step 3: Cross multiply
    410,153.60x = 615,230.40 × 310,620.80
  4. Step 4: Simplify right side
    410,153.60x = 191,103,359,032.32
  5. Step 5: Solve for x
    x = 191,103,359,032.32/410,153.60
  6. Step 6: Final answer
    x = 465,931.20

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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.