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Finding the Fourth Proportional to 470,649.60, 706,363.20 and 218,318.40

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Solution

The fourth proportional to 470,649.60, 706,363.20 and 218,318.40 is: 327,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,649.60 : 706,363.20 = 218,318.40 : x
  2. Step 2: Convert to fraction form
    470,649.60/706,363.20 = 218,318.40/x
  3. Step 3: Cross multiply
    470,649.60x = 706,363.20 × 218,318.40
  4. Step 4: Simplify right side
    470,649.60x = 154,212,083,642.88
  5. Step 5: Solve for x
    x = 154,212,083,642.88/470,649.60
  6. Step 6: Final answer
    x = 327,657.95

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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.