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Finding the Fourth Proportional to 288,030.48, 431,919 and 130,252.56

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Solution

The fourth proportional to 288,030.48, 431,919 and 130,252.56 is: 195,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,030.48 : 431,919 = 130,252.56 : x
  2. Step 2: Convert to fraction form
    288,030.48/431,919 = 130,252.56/x
  3. Step 3: Cross multiply
    288,030.48x = 431,919 × 130,252.56
  4. Step 4: Simplify right side
    288,030.48x = 56,258,555,462.64
  5. Step 5: Solve for x
    x = 56,258,555,462.64/288,030.48
  6. Step 6: Final answer
    x = 195,321.53

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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.