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Finding the Fourth Proportional to 410,419.40, 615,629.10 and 355,123.40

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Solution

The fourth proportional to 410,419.40, 615,629.10 and 355,123.40 is: 532,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,419.40 : 615,629.10 = 355,123.40 : x
  2. Step 2: Convert to fraction form
    410,419.40/615,629.10 = 355,123.40/x
  3. Step 3: Cross multiply
    410,419.40x = 615,629.10 × 355,123.40
  4. Step 4: Simplify right side
    410,419.40x = 218,624,299,130.94
  5. Step 5: Solve for x
    x = 218,624,299,130.94/410,419.40
  6. Step 6: Final answer
    x = 532,685.10

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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.