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Finding the Fourth Proportional to 280,510.47, 420,769.43 and 93,522.03

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Solution

The fourth proportional to 280,510.47, 420,769.43 and 93,522.03 is: 140,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,510.47 : 420,769.43 = 93,522.03 : x
  2. Step 2: Convert to fraction form
    280,510.47/420,769.43 = 93,522.03/x
  3. Step 3: Cross multiply
    280,510.47x = 420,769.43 × 93,522.03
  4. Step 4: Simplify right side
    280,510.47x = 39,351,210,787.93
  5. Step 5: Solve for x
    x = 39,351,210,787.93/280,510.47
  6. Step 6: Final answer
    x = 140,284.29

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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.