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Finding the Fourth Proportional to 288,287.75, 432,433.16 and 189,076.20

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Solution

The fourth proportional to 288,287.75, 432,433.16 and 189,076.20 is: 283,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287.75 : 432,433.16 = 189,076.20 : x
  2. Step 2: Convert to fraction form
    288,287.75/432,433.16 = 189,076.20/x
  3. Step 3: Cross multiply
    288,287.75x = 432,433.16 × 189,076.20
  4. Step 4: Simplify right side
    288,287.75x = 81,762,818,646.79
  5. Step 5: Solve for x
    x = 81,762,818,646.79/288,287.75
  6. Step 6: Final answer
    x = 283,615.31

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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.