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Finding the Fourth Proportional to 309,904.20, 464,856.30 and 209,520.90

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Solution

The fourth proportional to 309,904.20, 464,856.30 and 209,520.90 is: 314,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,904.20 : 464,856.30 = 209,520.90 : x
  2. Step 2: Convert to fraction form
    309,904.20/464,856.30 = 209,520.90/x
  3. Step 3: Cross multiply
    309,904.20x = 464,856.30 × 209,520.90
  4. Step 4: Simplify right side
    309,904.20x = 97,397,110,346.67
  5. Step 5: Solve for x
    x = 97,397,110,346.67/309,904.20
  6. Step 6: Final answer
    x = 314,281.35

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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.