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Finding the Fourth Proportional to 243,023.20, 364,534.80 and 209,780.80

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Solution

The fourth proportional to 243,023.20, 364,534.80 and 209,780.80 is: 314,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,023.20 : 364,534.80 = 209,780.80 : x
  2. Step 2: Convert to fraction form
    243,023.20/364,534.80 = 209,780.80/x
  3. Step 3: Cross multiply
    243,023.20x = 364,534.80 × 209,780.80
  4. Step 4: Simplify right side
    243,023.20x = 76,472,401,971.84
  5. Step 5: Solve for x
    x = 76,472,401,971.84/243,023.20
  6. Step 6: Final answer
    x = 314,671.20

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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.