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Finding the Fourth Proportional to 281,510.49, 421,206.30 and 197,434.77

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Solution

The fourth proportional to 281,510.49, 421,206.30 and 197,434.77 is: 295,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,510.49 : 421,206.30 = 197,434.77 : x
  2. Step 2: Convert to fraction form
    281,510.49/421,206.30 = 197,434.77/x
  3. Step 3: Cross multiply
    281,510.49x = 421,206.30 × 197,434.77
  4. Step 4: Simplify right side
    281,510.49x = 83,160,768,963.05
  5. Step 5: Solve for x
    x = 83,160,768,963.05/281,510.49
  6. Step 6: Final answer
    x = 295,409.13

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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.