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Finding the Fourth Proportional to 480,429.90, 720,727.74 and 196,274.88

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Solution

The fourth proportional to 480,429.90, 720,727.74 and 196,274.88 is: 294,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,429.90 : 720,727.74 = 196,274.88 : x
  2. Step 2: Convert to fraction form
    480,429.90/720,727.74 = 196,274.88/x
  3. Step 3: Cross multiply
    480,429.90x = 720,727.74 × 196,274.88
  4. Step 4: Simplify right side
    480,429.90x = 141,460,750,681.17
  5. Step 5: Solve for x
    x = 141,460,750,681.17/480,429.90
  6. Step 6: Final answer
    x = 294,446.18

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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.