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Finding the Fourth Proportional to 280,452.84, 420,510.03 and 130,726.68

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Solution

The fourth proportional to 280,452.84, 420,510.03 and 130,726.68 is: 196,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,452.84 : 420,510.03 = 130,726.68 : x
  2. Step 2: Convert to fraction form
    280,452.84/420,510.03 = 130,726.68/x
  3. Step 3: Cross multiply
    280,452.84x = 420,510.03 × 130,726.68
  4. Step 4: Simplify right side
    280,452.84x = 54,971,880,128.60
  5. Step 5: Solve for x
    x = 54,971,880,128.60/280,452.84
  6. Step 6: Final answer
    x = 196,011.14

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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.