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Finding the Fourth Proportional to 288,518.60, 432,000.30 and 209,203.40

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Solution

The fourth proportional to 288,518.60, 432,000.30 and 209,203.40 is: 313,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,518.60 : 432,000.30 = 209,203.40 : x
  2. Step 2: Convert to fraction form
    288,518.60/432,000.30 = 209,203.40/x
  3. Step 3: Cross multiply
    288,518.60x = 432,000.30 × 209,203.40
  4. Step 4: Simplify right side
    288,518.60x = 90,375,931,561.02
  5. Step 5: Solve for x
    x = 90,375,931,561.02/288,518.60
  6. Step 6: Final answer
    x = 313,241.27

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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.