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Finding the Fourth Proportional to 480,430.90, 720,729.24 and 196,275.88

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Solution

The fourth proportional to 480,430.90, 720,729.24 and 196,275.88 is: 294,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,430.90 : 720,729.24 = 196,275.88 : x
  2. Step 2: Convert to fraction form
    480,430.90/720,729.24 = 196,275.88/x
  3. Step 3: Cross multiply
    480,430.90x = 720,729.24 × 196,275.88
  4. Step 4: Simplify right side
    480,430.90x = 141,461,765,822.73
  5. Step 5: Solve for x
    x = 141,461,765,822.73/480,430.90
  6. Step 6: Final answer
    x = 294,447.68

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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.