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Finding the Fourth Proportional to 288,524.60, 432,009.30 and 209,209.40

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Solution

The fourth proportional to 288,524.60, 432,009.30 and 209,209.40 is: 313,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,524.60 : 432,009.30 = 209,209.40 : x
  2. Step 2: Convert to fraction form
    288,524.60/432,009.30 = 209,209.40/x
  3. Step 3: Cross multiply
    288,524.60x = 432,009.30 × 209,209.40
  4. Step 4: Simplify right side
    288,524.60x = 90,380,406,447.42
  5. Step 5: Solve for x
    x = 90,380,406,447.42/288,524.60
  6. Step 6: Final answer
    x = 313,250.26

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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.