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Finding the Fourth Proportional to 410,061.10, 615,091.65 and 309,021.70

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Solution

The fourth proportional to 410,061.10, 615,091.65 and 309,021.70 is: 463,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.10 : 615,091.65 = 309,021.70 : x
  2. Step 2: Convert to fraction form
    410,061.10/615,091.65 = 309,021.70/x
  3. Step 3: Cross multiply
    410,061.10x = 615,091.65 × 309,021.70
  4. Step 4: Simplify right side
    410,061.10x = 190,076,667,338.81
  5. Step 5: Solve for x
    x = 190,076,667,338.81/410,061.10
  6. Step 6: Final answer
    x = 463,532.55

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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.