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Finding the Fourth Proportional to 470,543.20, 705,814.80 and 271,477.60

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Solution

The fourth proportional to 470,543.20, 705,814.80 and 271,477.60 is: 407,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.20 : 705,814.80 = 271,477.60 : x
  2. Step 2: Convert to fraction form
    470,543.20/705,814.80 = 271,477.60/x
  3. Step 3: Cross multiply
    470,543.20x = 705,814.80 × 271,477.60
  4. Step 4: Simplify right side
    470,543.20x = 191,612,907,948.48
  5. Step 5: Solve for x
    x = 191,612,907,948.48/470,543.20
  6. Step 6: Final answer
    x = 407,216.40

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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.