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Finding the Fourth Proportional to 311,189.10, 466,783.65 and 100,848.30

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Solution

The fourth proportional to 311,189.10, 466,783.65 and 100,848.30 is: 151,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,189.10 : 466,783.65 = 100,848.30 : x
  2. Step 2: Convert to fraction form
    311,189.10/466,783.65 = 100,848.30/x
  3. Step 3: Cross multiply
    311,189.10x = 466,783.65 × 100,848.30
  4. Step 4: Simplify right side
    311,189.10x = 47,074,337,570.30
  5. Step 5: Solve for x
    x = 47,074,337,570.30/311,189.10
  6. Step 6: Final answer
    x = 151,272.45

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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.