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Finding the Fourth Proportional to 309,810.30, 464,715.45 and 275,984.70

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Solution

The fourth proportional to 309,810.30, 464,715.45 and 275,984.70 is: 413,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,810.30 : 464,715.45 = 275,984.70 : x
  2. Step 2: Convert to fraction form
    309,810.30/464,715.45 = 275,984.70/x
  3. Step 3: Cross multiply
    309,810.30x = 464,715.45 × 275,984.70
  4. Step 4: Simplify right side
    309,810.30x = 128,254,354,053.62
  5. Step 5: Solve for x
    x = 128,254,354,053.62/309,810.30
  6. Step 6: Final answer
    x = 413,977.05

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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.