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Finding the Fourth Proportional to 476,378.40, 714,024.02 and 191,886.78

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Solution

The fourth proportional to 476,378.40, 714,024.02 and 191,886.78 is: 287,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,378.40 : 714,024.02 = 191,886.78 : x
  2. Step 2: Convert to fraction form
    476,378.40/714,024.02 = 191,886.78/x
  3. Step 3: Cross multiply
    476,378.40x = 714,024.02 × 191,886.78
  4. Step 4: Simplify right side
    476,378.40x = 137,011,770,040.46
  5. Step 5: Solve for x
    x = 137,011,770,040.46/476,378.40
  6. Step 6: Final answer
    x = 287,611.21

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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.